Knowledge

Basic reproduction number

Source πŸ“

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may be able to spread in the fully mixed portion even though a randomly selected individual would lead to fewer than one secondary case. This is because the typical infected individual is in the fully mixed portion and thus is able to successfully cause infections. In general, if the individuals infected early in an epidemic are on average either more likely or less likely to transmit the infection than individuals infected late in the epidemic, then the computation of
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is more subtle. The definition must account for the fact that a typical infected individual may not be an average individual. As an extreme example, consider a population in which a small portion of the individuals mix fully with one another while the remaining individuals are all isolated. A disease
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of contact and disease transmission between people. Nodes in these networks represent individuals and links (edges) between nodes represent the contact or disease transmission between them. If such a network is a locally tree-like network, then the basic reproduction can be written in terms of the
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cannot be modified through vaccination or other changes in population susceptibility, it can vary based on a number of biological, sociobehavioral, and environmental factors. It can also be modified by physical distancing and other public policy or social interventions, although some historical
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values are usually estimated from mathematical models, and the estimated values are dependent on the model used and values of other parameters. Thus values given in the literature only make sense in the given context and it is not recommended to compare values based on different models.
1909:, calculations from the intrinsic growth rate, existence of the endemic equilibrium, the number of susceptibles at the endemic equilibrium, the average age of infection and the final size equation. Few of these methods agree with one another, even when starting with the same system of 4524:
A number of researchers have estimated the basic reproduction number by fitting models to the initial growth of epidemics in a number of countries. Their observations indicate that the SARS-CoV is less transmissible than initially thought with estimates of Ro in the range of
556:. Here, herd immunity means that the disease cannot spread in the population because each infected person, on average, can only transmit the infection to less than one other contact. Conversely, the proportion of the population that remains susceptible to infection in the 502:, the harder it is to control the epidemic. For simple models, the proportion of the population that needs to be effectively immunized (meaning not susceptible to infection) to prevent sustained spread of the infection has to be larger than 1156: 885: 4291:
Luman, ET; Barker, LE; Simpson, DM; Rodewald, LE; Szilagyi, PG; Zhao, Z (May 2001). "National, state, and urban-area vaccination-coverage levels among children aged 19–35 months, United States, 1999".
1144:. Some diseases have multiple possible latency periods, in which case the reproduction number for the disease overall is the sum of the reproduction number for each transition time into the disease. 4597: 3898:
Chowell G, Hengartner NW, Castillo-Chavez C, Fenimore PW, Hyman JM (July 2004). "The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda".
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definitions exclude any deliberate intervention in reducing disease transmission, including nonpharmacological interventions. And indeed, whether nonpharmacological interventions are included in
1142: 763:. In these models, population members are assigned to 'compartments' with labels – for example, S, I, or R, (Susceptible, Infectious, or Recovered). These models can be used to estimate 3166: 3576:
Diekmann O, Heesterbeek JA, Metz JA (1990). "On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations".
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Prather, Kimberly A.; Marr, Linsey C.; Schooley, Robert T.; McDiarmid, Melissa A.; Wilson, Mary E.; Milton, Donald K. (October 16, 2020). "Airborne transmission of SARS-CoV-2".
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Ajelli M, Iannelli M, Manfredi P, Ciofi degli Atti ML (March 2008). "Basic mathematical models for the temporal dynamics of HAV in medium-endemicity Italian areas".
1071: 5354: 2873: 2016: 1973: 1938: 1891: 1756: 1729: 1701: 1671: 1537: 1510: 1483: 1458:, which needs to be interpreted in the context of that model. Therefore, the contagiousness of different infectious agents cannot be compared without recalculating 1456: 1425: 1398: 1368: 1333: 1298: 1267: 1220: 1048: 1021: 993: 788: 739: 708: 500: 399: 369: 341: 314: 277: 250: 223: 141: 90: 63: 5422: 4231: 316:
is not a biological constant for a pathogen as it is also affected by other factors such as environmental conditions and the behaviour of the infected population.
2018:
for species, strains, and variants are typically less accurate than for genera, and so are provided in separate tables below for diseases of particular interest (
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The reproduction number across influenza seasons and countries lied in the range 0.9–2.0 with an overall mean of 1.3, and 95% confidence interval (CI) 1.2–1.4.
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can spread in a population and determining what proportion of the population should be immunized through vaccination to eradicate a disease. In commonly used
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MartΓ­nez, Valeria P.; Di Paola, Nicholas; Alonso, Daniel O.; PΓ©rez-Sautu, Unai; Bellomo, Carla M.; Iglesias, AyelΓ©n A.; et al. (December 3, 2020).
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in this case is "the expected number of secondary cases produced, in a completely susceptible population, produced by a typical infected individual".
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can still lead to self-perpetuating outbreaks. This is particularly problematic if there are intermediate vectors between hosts (as is the case for
6744: 599:
between the individuals. For example, if there is some correlation between people's immunization (e.g., vaccination) status, then the formula
175:, add the absence of "any deliberate intervention in disease transmission". The basic reproduction number is not necessarily the same as the 3813: 6298: 5415: 2946: 1800:. Many of these factors are not important for informing public policy. Therefore, public policy may be better served by metrics similar to 1073:
other people per unit time, if all of those people are assumed to contract the disease, and if the disease has a mean infectious period of
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Centers for Disease Control and Prevention; World Health Organization (2001). "History and epidemiology of global smallpox eradication".
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of the population that is susceptible. When the fraction of the population that is immune increases (i. e. the susceptible population
4620: 5408: 4359:"Incidence and reproduction numbers of pertussis: estimates from serological and social contact data in five European countries" 252:), which is the number of cases generated in the current state of a population, which does not have to be the uninfected state. 7079: 7066: 5680: 5436: 4688:"The study of human monkeypox disease in 2022 using the epidemic models: herd immunity and the basic reproduction number case" 3150: 1192:
In reality, varying proportions of the population are immune to any given disease at any given time. To account for this, the
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Guerra FM, Bolotin S, Lim G, Heffernan J, Deeks SL, Li Y, Crowcroft NS (December 2017). "The basic reproduction number (R
1940:
is rarely observed in the field and is usually calculated via a mathematical model, this severely limits its usefulness.
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often depends on the paper, disease, and what if any intervention is being studied. This creates some confusion, because
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The basic reproduction number can be computed as a ratio of known rates over time: if a contagious individual contacts
7071: 4151: 3732: 1780:
depends on many factors, many of which need to be estimated. Each of these factors adds to uncertainty in estimates of
6075: 1105: 6501: 6496: 5015:"The reproductive number of the Delta variant of SARS-CoV-2 is far higher compared to the ancestral SARS-CoV-2 virus" 3882: 3160: 2221: 6106: 7040: 6580: 5987: 5603: 676: 283:(persons infected per person infecting) and not a time rate, which would have units of time, or units of time like 172: 19:
This article is about the rate of spread of an epidemic. For the average number of offspring born to a female, see
6174: 6915: 6513: 6232: 6210: 5641: 4328:"Vaccination coverage among children enrolled in Head Start programs or day care facilities or entering school" 4126: 6883: 5581: 920: 176: 4230:(Presentation). Atlanta: Centers for Disease Control and Prevention (published August 25, 2014). cdc:27929. 1512:
values for past outbreaks might not be valid for current outbreaks of the same disease. Generally speaking,
6910: 6063: 5826: 5541: 4169:"The effective reproductive number of the Omicron variant of SARS-CoV-2 is several times relative to Delta" 3856:
The Medical Department of the United States Army in the World War, vol. IX: Communicable and Other Diseases
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Fraser C, Donnelly CA, Cauchemez S, Hanage WP, Van Kerkhove MD, Hollingsworth TD, et al. (June 2009).
1076: 5735: 5149:"Reproductive number of coronavirus: A systematic review and meta-analysis based on global level evidence" 6952: 6823: 6759: 6727: 6675: 5972: 5954: 3995: 892: 4806:"Seasonal influenza in the United States, France, and Australia: transmission and prospects for control" 6508: 5921: 5661: 4817: 2941: 2875:
are presented to reflect the progression of a fatal viral infection from isolated cases to a pandemic.
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has been achieved and the number of cases occurring in the population will gradually decrease to zero.
7012: 7002: 6697: 6633: 6356: 6124: 6101: 5887: 5700: 4509: 4946:"The role of superspreading in Middle East respiratory syndrome coronavirus (MERS-CoV) transmission" 4475:. National Emerging Special Pathogen Training and Education Center. January 30, 2020. Archived from 3152:
Using Mathematical Models to Assess Responses to an Outbreak of an Emerged Viral Respiratory Disease
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Mathematical Epidemiology of Infectious Diseases : Model Building, Analysis and Interpretation
2769: 2748: 27: 3631:"Role of herd immunity in determining the effect of vaccines against sexually transmitted disease" 7017: 6935: 6801: 6331: 6129: 5836: 5774: 5608: 5576: 5373:
Van Den Driessche, P.; Watmough, James (2008). "Further Notes on the Basic Reproduction Number".
2915: 2705: 2588: 2545: 2049: 595:. However, this threshold is based on simple models that assume a fully mixed population with no 5688: 1758:
is not a constant; whereas most mathematical parameters with "nought" subscripts are constants.
1608: 1575: 1542: 713: 445: 412: 6604: 6389: 6139: 6012: 5618: 5475: 5465: 2936: 2591: 1988: 1910: 1906: 602: 557: 505: 160: 5328: 5221: 3722: 3484:"Ross, macdonald, and a theory for the dynamics and control of mosquito-transmitted pathogens" 3459:
Vegvari C. "Commentary on the use of the reproduction number R during the COVID-19 pandemic".
3238: 7127: 6925: 6557: 6426: 5934: 5841: 5760: 4539:"Clinical and Epidemiological Aspects of Diphtheria: A Systematic Review and Pooled Analysis" 3870: 2844: 2430: 2072: 1831: 563: 20: 5705: 5014: 4476: 1056: 7007: 6900: 6846: 6774: 6764: 6456: 6311: 6184: 5791: 5400: 5332: 5160: 5105: 4423: 3917: 3414: 3201: 3098: 2851: 2158: 1994: 1951: 1916: 1869: 1734: 1707: 1679: 1649: 1515: 1488: 1461: 1434: 1403: 1376: 1346: 1311: 1276: 1245: 1198: 1026: 999: 971: 953: 766: 717: 686: 659:, and the number of susceptible people in the population that the infected people contact. 478: 377: 347: 319: 292: 280: 255: 228: 201: 119: 68: 41: 4789:
mean estimate for the ongoing epidemic (overall) is 1.78 (interquartile range: 1.44, 1.80)
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is the average number of people infected from one other person. For example, Ebola has an
8: 7094: 7084: 7050: 6655: 6093: 5929: 5740: 4962: 4945: 4669: 4537:
Truelove SA, Keegan LT, Moss WJ, Chaisson LH, Macher E, Azman AS, Lessler J (June 2020).
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The basic reproduction number is affected by several factors, including the duration of
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does not by itself give an estimate of how fast an infection spreads in the population.
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is the average number of new infections caused by a single infected individual at time
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Heesterbeek, J.A.P. (2002). "A brief history of R0 and a recipe for its calculation".
4745:"A systematic review of early modelling studies of Ebola virus disease in West Africa" 4304: 4103: 7104: 7045: 6905: 6858: 6660: 6162: 5831: 5821: 5811: 5796: 5613: 5596: 5460: 5386: 5315: 5264: 5188: 5133: 5121: 5052: 5034: 4990: 4967: 4926: 4895: 4883: 4839: 4776: 4725: 4707: 4661: 4643: 4568: 4439: 4390: 4339: 4308: 4273: 4206: 4188: 4107: 4068: 4011: 3976: 3933: 3878: 3791: 3728: 3703: 3652: 3603: 3542: 3515: 3464: 3442: 3430: 3370: 3329: 3219: 3156: 3124: 3064: 3054: 1894: 5276: 4922: 4451: 3615: 3145:
Becker NG, Glass K, Barnes B, Caley P, Philp D, McCaw JM, et al. (April 2006).
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Graph of herd immunity threshold vs basic reproduction number with selected diseases
7099: 7035: 7022: 6851: 6840: 6732: 6712: 6547: 6461: 6436: 6167: 6114: 6053: 5944: 5591: 5519: 5378: 5305: 5297: 5254: 5246: 5178: 5168: 5113: 5042: 5026: 4957: 4918: 4873: 4829: 4821: 4766: 4756: 4715: 4699: 4651: 4635: 4558: 4550: 4513: 4508:. Department of Communicable Disease Surveillance and Response (Technical report). 4431: 4380: 4370: 4300: 4265: 4196: 4180: 4099: 4058: 4050: 4003: 3968: 3945: 3925: 3781: 3771: 3693: 3683: 3642: 3593: 3585: 3505: 3495: 3422: 3360: 3319: 3311: 3209: 3114: 3106: 1984: 1185: 4506:
Consensus document on the epidemiology of severe acute respiratory syndrome (SARS)
3972: 1913:. Even fewer actually calculate the average number of secondary infections. Since 1400:
in the popular press has led to misunderstandings and distortions of its meaning.
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of cases directly generated by one case in a population where all individuals are
92:
of two, so on average, a person who has Ebola will pass it on to two other people.
6967: 6962: 6806: 6754: 6562: 6539: 6384: 6361: 5745: 5710: 5586: 5531: 5173: 4862:"'Super-Spreaders' and Person-to-Person Transmission of Andes Virus in Argentina" 4703: 4375: 3500: 3426: 3391:
Hiraoka, Takayuki; K. Rizi, Abbas; KivelΓ€, Mikko; SaramΓ€ki, Jari (May 12, 2022).
2906: 2892: 1902: 805: 35: 5715: 5382: 2900: 1342: 683:. In his work he called the quantity basic reproduction rate and denoted it by 643: 6997: 6930: 6873: 6645: 6534: 6526: 6451: 6404: 6399: 6346: 6070: 5851: 5846: 5806: 5755: 5720: 5558: 5494: 3929: 3482:
Smith DL, Battle KE, Hay SI, Barker CM, Scott TW, McKenzie FE (April 5, 2012).
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to infection. The definition assumes that no other individuals are infected or
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The roots of the basic reproduction concept can be traced through the work of
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mentioned in the previous section, estimates have been made for a number of
7089: 7027: 6789: 6769: 6717: 6665: 6616: 6416: 6366: 5977: 5548: 5319: 5301: 5268: 5192: 5125: 5071: 5056: 4971: 4930: 4887: 4843: 4780: 4729: 4665: 4572: 4443: 4394: 4343: 4312: 4210: 4111: 4072: 4054: 3996:"2 - Simple compartmental models: The bedrock of mathematical epidemiology" 3980: 3937: 3795: 3707: 3656: 3546: 3519: 3468: 3434: 3374: 3333: 3315: 3223: 3128: 1673:
of well-known contagious diseases" table should be conducted with caution.
880:{\displaystyle R_{0}={\frac {\langle k^{2}\rangle }{\langle k\rangle }}-1,} 672: 164: 97: 5030: 4878: 4861: 4639: 4410: 4277: 4184: 3776: 3688: 3607: 1539:
can be used as a threshold, even if calculated with different methods: if
442:
the infection will be able to start spreading in a population, but not if
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Delamater PL, Street EJ, Leslie TF, Yang YT, Jacobsen KH (January 2019).
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From a module of a training course with data modified from other sources.
2567: 2472: 2281: 668: 652: 168: 4225: 3897: 3533:
Macdonald G (September 1952). "The analysis of equilibrium in malaria".
3393:"Herd immunity and epidemic size in networks with vaccination homophily" 1273:
in the partially susceptible population. It can be found by multiplying
6920: 6895: 6863: 6640: 6621: 6611: 6599: 6446: 6058: 6030: 5856: 5816: 5259: 4518: 3589: 2679: 2237: 2208: 2085: 1898: 3958: 3912: 3087:"Pandemic potential of a strain of influenza A (H1N1): early findings" 2848:, a fictional medical disaster thriller, a blogger's calculations for 1605:, the outbreak will expand. In some cases, for some models, values of 6992: 6471: 5504: 5499: 5432: 4256:
Fine, Paul E. M. (1993). "Herd Immunity: History, Theory, Practice".
3598: 2634: 2584: 2563: 2519: 2387: 2019: 1825: 152: 4489:
while infections that require sexual contact like HIV have a lower R
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von Csefalvay, Chris (January 1, 2023), von Csefalvay, Chris (ed.),
3858:. Washington: U.S.: U.S. Government Printing Office. pp. 116–7. 675:
and others, but its first modern application in epidemiology was by
6975: 6890: 6466: 6441: 6394: 5939: 5509: 5452: 3647: 3630: 3409: 3261:"Why 'Exponential Growth' Is So Scary For The COVID-19 Coronavirus" 2930: 2786: 2765: 2744: 2723: 2203: 2187: 2120: 2023: 1639: 5377:. Lecture Notes in Mathematics. Vol. 1945. pp. 159–178. 5140: 1979:, and are shown in this table. Each genus may be composed of many 6779: 6650: 5903: 5147:
Billah, Arif; Miah, Mamun; Khan, Nuruzzaman (November 11, 2020).
4909:
Luby SP (October 2013). "The pandemic potential of Nipah virus".
4859: 4227:
Smallpox: disease, prevention, and intervention (training course)
3560: 2303:
Physical contact, body fluids, respiratory droplets, sexual (MSM)
2137: 2067: 1980: 1643: 680: 4411:"Transmission potential of smallpox in contemporary populations" 1943: 1023:
must account for this difference. An appropriate definition for
6987: 6552: 6205: 5801: 3838: 2242: 2041:
thresholds (HITs) of contagious diseases prior to intervention
1976: 6216: 5072:"Covid: Is there a limit to how much worse variants can get?" 4799: 4797: 3084: 2340: 2153: 2102: 5430: 5284:
Heffernan, J.M; Smith, R.J; Wahl, L.M (September 22, 2005).
5095: 3390: 1646:. Therefore, comparisons between values from the "Values of 679:
in 1952, who constructed population models of the spread of
5669: 4589:"Magic formula that will determine whether Ebola is beaten" 2488: 2298: 968:
In populations that are not homogeneous, the definition of
4794: 4536: 4290: 3155:. National Centre for Epidemiology and Population Health. 1820:, but which are more straightforward to estimate, such as 5372: 4743:
Wong ZS, Bui CM, Chughtai AA, Macintyre CR (April 2017).
4124: 4085: 3293: 3053:. Chichester, West Sussex: Wiley Blackwell. p. 310. 4742: 4356: 4326:
Jiles, RB; Fuchs, C; Klevens, RM (September 22, 2000).
3840:
The SIR Model When S(t) is a Multi-Exponential Function
3575: 917:
is the mean-degree (average degree) of the network and
4986:"Omicron transmission: how contagious diseases spread" 3144: 759:
are a general modeling technique often applied to the
5335: 5063: 3347:
Fine, P.; Eames, K.; Heymann, D. L. (April 1, 2011).
2854: 1997: 1954: 1919: 1872: 1834: 1806: 1786: 1766: 1737: 1710: 1682: 1652: 1611: 1578: 1545: 1518: 1491: 1464: 1437: 1406: 1379: 1349: 1314: 1279: 1248: 1228: 1201: 1170: 1123: 1108: 1081: 1079: 1059: 1029: 1002: 974: 923: 895: 821: 769: 720: 689: 605: 566: 508: 481: 448: 415: 380: 350: 322: 295: 258: 231: 204: 184: 122: 71: 44: 4621:"Modelling human-to-human transmission of monkeypox" 3669: 3481: 3190:"A guide to R - the pandemic's misunderstood metric" 2882: 804:
Epidemics can be modeled as diseases spreading over
4803: 3868: 3753: 3751: 5348: 5283: 4619:Grant R, Nguyen LL, Breban R (September 1, 2020). 4587: 4409: 4037:Heffernan JM, Smith RJ, Wahl LM (September 2005). 4036: 3814:"The Misunderstood Number That Predicts Epidemics" 3764:Computational and Mathematical Methods in Medicine 3724:Theories and Simulations of Complex Social Systems 2867: 2010: 1967: 1932: 1885: 1855: 1812: 1792: 1772: 1750: 1723: 1695: 1665: 1630: 1597: 1564: 1531: 1504: 1477: 1450: 1419: 1392: 1362: 1327: 1292: 1261: 1234: 1214: 1176: 1136: 1094: 1065: 1042: 1015: 987: 944: 909: 879: 782: 733: 702: 632: 587: 535: 494: 467: 434: 393: 363: 335: 308: 271: 244: 217: 190: 135: 84: 57: 4618: 4357:Kretzschmar M, Teunis PF, Pebody RG (June 2010). 4325: 2537:thresholds (HITs) for specific influenza strains 1431:. Each of these can give a different estimate of 7119: 4943: 3748: 3672:"Viral evolution and transmission effectiveness" 3346: 1147: 1137:{\displaystyle R_{0}={\dfrac {\beta }{\gamma }}} 5089: 4579: 3757: 3296:"Complexity of the Basic Reproduction Number (R 3048: 3006: 3004: 2819: 2803: 2663: 2647: 2620: 2604: 2500: 2458: 2416: 2400: 2373: 2357: 2326: 2310: 2267: 640:may underestimate the herd immunity threshold. 26:"R number" redirects here. For other uses, see 5286:"Perspectives on the basic reproductive ratio" 5146: 5013:Liu, Ying; RocklΓΆv, Joacim (October 1, 2021). 4039:"Perspectives on the basic reproductive ratio" 3720: 793: 655:of affected people, the contagiousness of the 5782: 5416: 3993: 2697:thresholds (HITs) for variants of SARS-CoV-2 2442: 2251: 1944:Sample values for various contagious diseases 1102:, then the basic reproduction number is just 4804:Chowell G, Miller MA, Viboud C (June 2008). 4000:Computational Modeling of Infectious Disease 3663: 3622: 3001: 2947:Mathematical modelling of infectious disease 963: 938: 925: 903: 897: 862: 856: 851: 838: 800:Mathematical modelling of infectious disease 761:mathematical modeling of infectious diseases 5236: 3670:Rodpothong P, Auewarakul P (October 2012). 3289: 3287: 3285: 3283: 3281: 3028:< 1.0, the disease naturally disappears. 5423: 5409: 5012: 4162: 4160: 4152:Australian government Department of Health 3843:(Thesis). East Tennessee State University. 3454: 3452: 5309: 5258: 5182: 5172: 5069: 5046: 4961: 4877: 4833: 4770: 4760: 4719: 4655: 4628:Bulletin of the World Health Organization 4562: 4517: 4407: 4384: 4374: 4200: 4062: 3911: 3785: 3775: 3697: 3687: 3646: 3597: 3562:Network Science by Albert-LΓ‘szlΓ³ BarabΓ‘si 3532: 3509: 3499: 3408: 3364: 3323: 3213: 3118: 171:). Some definitions, such as that of the 4685: 3807: 3805: 3569: 3278: 3080: 3078: 1151: 642: 34: 6497:Ear-Nose-Throat/Upper respiratory tract 5670:Access to water, sanitation and hygiene 4585: 4293:American Journal of Preventive Medicine 4157: 4043:Journal of the Royal Society, Interface 3853: 3847: 3714: 3628: 3449: 3020: 3018: 3016: 2967: 2965: 2963: 2123:(see values for specific strains below) 1948:Despite the difficulties in estimating 945:{\displaystyle {\langle k^{2}\rangle }} 813:of the transmission network such that: 745: 7120: 7080:Infectious disease (medical specialty) 6972:Antimicrobial resistance surveillance 5290:Journal of the Royal Society Interface 4944:Kucharski AJ, Althaus CL (June 2015). 4154:Mumps Laboratory Case Definition (LCD) 3836: 3830: 1427:can be calculated from many different 5404: 5326: 4600:from the original on January 12, 2022 4332:Morbidity and Mortality Weekly Report 4270:10.1093/oxfordjournals.epirev.a036121 3811: 3802: 3075: 3051:Vaccinology : an essential guide 2837: 1095:{\displaystyle {\dfrac {1}{\gamma }}} 475:. Generally, the larger the value of 6327:Compartmental models in epidemiology 4963:10.2807/1560-7917.ES2015.20.25.21167 4908: 4255: 4090:) of measles: a systematic review". 3386: 3384: 3187: 3140: 3138: 3013: 2960: 2921:Compartmental models in epidemiology 2798: 2642: 2599: 2495: 2437: 2435:Respiratory droplets and body fluids 2395: 2352: 1572:, the outbreak will die out, and if 752:Compartmental models in epidemiology 4237:from the original on March 17, 2017 4166: 3877:. New York: Wiley. pp. 73–98. 3869:Diekmann O, Heesterbeek JA (2000). 3758:Li J, Blakeley D, Smith RJ (2011). 3458: 2777: 2305: 2246: 910:{\displaystyle {\langle k\rangle }} 13: 5203: 5070:Gallagher, James (June 12, 2021). 4008:10.1016/b978-0-32-395389-4.00011-6 4002:, Academic Press, pp. 19–91, 3635:The Journal of Infectious Diseases 3258: 2814: 2658: 2615: 2453: 2411: 2368: 2321: 2262: 14: 7154: 4408:Gani R, Leach S (December 2001). 3381: 3236: 3135: 7076:Economics of Infectious Diseases 5210: 4692:Annals of Medicine & Surgery 3349:"'Herd Immunity': A Rough Guide" 3049:Milligan GN, Barrett AD (2015). 2899: 2885: 2796:Respiratory droplets and aerosol 2775:Respiratory droplets and aerosol 2754:Respiratory droplets and aerosol 2733:Respiratory droplets and aerosol 2126:Respiratory droplets and aerosol 1184:number in simple terms from the 5006: 4978: 4937: 4923:10.1016/j.antiviral.2013.07.011 4902: 4866:New England Journal of Medicine 4853: 4736: 4679: 4612: 4530: 4498: 4465: 4401: 4350: 4319: 4284: 4249: 4217: 4145: 4118: 4092:The Lancet. Infectious Diseases 4079: 4030: 3987: 3952: 3891: 3862: 3578:Journal of Mathematical Biology 3553: 3526: 3475: 401:are determining if an emerging 173:Australian Department of Health 7085:Infectious disease informatics 6916:Transmission-based precautions 4586:Freeman C (November 6, 2014). 4473:"Playing the Numbers Game: R0" 4128:Health Care Worker Information 3900:Journal of Theoretical Biology 3871:"The Basic Reproduction Ratio" 3721:Dabbaghian V, Mago VK (2013). 3340: 3252: 3230: 3181: 3042: 1: 6502:Chest/Lower respiratory tract 6277:Ocular (Eye) mucosal membrane 5638:Behavioral/lifestyle factors 4305:10.1016/s0749-3797(01)00274-4 4104:10.1016/S1473-3099(17)30307-9 3973:10.1016/j.vaccine.2007.12.058 3727:. Springer. pp. 134–35. 3035: 1194:effective reproduction number 1148:Effective reproduction number 177:effective reproduction number 6064:Aerosol-generating procedure 5842:Silent/Subclinical infection 5542:Multidrug-resistant bacteria 5174:10.1371/journal.pone.0242128 4704:10.1097/MS9.0000000000000229 4686:Al-Raeei M (February 2023). 4543:Clinical Infectious Diseases 4376:10.1371/journal.pmed.1000291 3629:Garnett GP (February 2005). 3501:10.1371/journal.ppat.1002588 3427:10.1103/PhysRevE.105.L052301 3353:Clinical Infectious Diseases 3304:Emerging Infectious Diseases 1485:with invariant assumptions. 956:of the transmission network 7: 6728:Vaccine-preventable disease 6676:Monoclonal antibody therapy 5383:10.1007/978-3-540-78911-6_6 4522:. WHO/CDS/CSR/GAR/2003.11. 4125:Ireland's Health Services. 3837:Balkew TM (December 2010). 3812:Byrne M (October 6, 2014), 2878: 794:Epidemic models on networks 374:The most important uses of 10: 7159: 6869:Respiratory source control 5223:basic reproduction number 5019:Journal of Travel Medicine 4818:Cambridge University Press 4810:Epidemiology and Infection 4749:Epidemiology and Infection 4173:Journal of Travel Medicine 3930:10.1016/j.jtbi.2004.03.006 3535:Tropical Diseases Bulletin 3215:10.1038/d41586-020-02009-w 2942:Epidemiological transition 2678:Estimates for variants of 1897:, rearranging the largest 1866:Methods used to calculate 1631:{\displaystyle R_{0}<1} 1598:{\displaystyle R_{0}>1} 1565:{\displaystyle R_{0}<1} 797: 749: 662: 468:{\displaystyle R_{0}<1} 435:{\displaystyle R_{0}>1} 25: 18: 7059: 7013:Global Health Initiatives 7003:Evolutionary epidemiology 6951: 6743: 6698:Post-exposure prophylaxis 6634:Antimicrobial stewardship 6592: 6579: 6484: 6375: 6357:Multiplicity of infection 6322:Basic reproduction number 6297: 6269: 6255: 6241: 6225: 6193: 6155: 6098:Percutaneous inoculation 6084: 6046: 6039: 6021: 5953: 5920: 5913: 5877: 5870: 5773: 5660: 5582:Host–pathogen interaction 5557: 5451: 5444: 5375:Mathematical Epidemiology 4826:10.1017/S0950268807009144 4762:10.1017/S0950268817000164 4510:World Health Organization 3676:World Journal of Virology 3147:"The reproduction number" 2518:Estimates for strains of 964:Heterogeneous populations 633:{\displaystyle 1-1/R_{0}} 536:{\displaystyle 1-1/R_{0}} 106:basic reproductive number 102:basic reproduction number 6831:Protective sequestration 6693:Pre-exposure prophylaxis 5984:Generational difference 5537:Horizontal gene transfer 5527:Antimicrobial resistance 5327:Jones JH (May 1, 2007). 4167:Liu, Y (March 9, 2022). 3854:Ireland MW, ed. (1928). 2953: 1308:decreases) so much that 543:. This is the so-called 110:basic reproduction ratio 7018:Microbial phylogenetics 6936:Wastewater surveillance 6457:Geographic distribution 6332:Critical community size 6130:Surgical site infection 5978:Iatrogenic/Medical care 5897:Microbial translocation 5893:Endogenous reactivation 5888:Normal flora overgrowth 5837:Opportunistic infection 5609:Opportunistic infection 5251:10.1023/a:1016599411804 5118:10.1126/science.abf0521 3111:10.1126/science.1176062 2916:Apparent infection rate 1856:{\displaystyle t_{1/2}} 588:{\displaystyle 1/R_{0}} 114:basic reproductive rate 7090:Microbial bioterrorism 6713:efficacy/effectiveness 6121:Surgical intervention 6013:Breakthrough infection 5635:Genetic predisposition 5619:Susceptible individual 5466:Germ theory of disease 5350: 5302:10.1098/rsif.2005.0042 4055:10.1098/rsif.2005.0042 3316:10.3201/eid2501.171901 2937:Epidemiological method 2869: 2012: 1969: 1934: 1911:differential equations 1907:next-generation method 1887: 1857: 1814: 1794: 1774: 1752: 1725: 1697: 1667: 1632: 1599: 1566: 1533: 1506: 1479: 1452: 1421: 1394: 1364: 1329: 1294: 1263: 1236: 1216: 1189: 1178: 1164:An explanation of the 1138: 1096: 1067: 1066:{\displaystyle \beta } 1044: 1017: 989: 946: 911: 881: 784: 735: 704: 648: 634: 589: 537: 496: 469: 436: 395: 365: 337: 310: 273: 246: 219: 192: 167:(naturally or through 137: 93: 86: 59: 16:Metric in epidemiology 6926:Universal precautions 5884:Endogenous overgrowth 5736:Poultry and livestock 5351: 5349:{\displaystyle R_{0}} 4879:10.1056/NEJMoa2009040 4675:on December 11, 2020. 4640:10.2471/BLT.19.242347 4258:Epidemiologic Reviews 3689:10.5501/wjv.v1.i5.131 2870: 2868:{\displaystyle R_{0}} 2573:Respiratory droplets 2013: 2011:{\displaystyle R_{0}} 1970: 1968:{\displaystyle R_{0}} 1935: 1933:{\displaystyle R_{0}} 1888: 1886:{\displaystyle R_{0}} 1858: 1815: 1795: 1775: 1753: 1751:{\displaystyle R_{0}} 1726: 1724:{\displaystyle R_{0}} 1698: 1696:{\displaystyle R_{0}} 1668: 1666:{\displaystyle R_{0}} 1633: 1600: 1567: 1534: 1532:{\displaystyle R_{0}} 1507: 1505:{\displaystyle R_{0}} 1480: 1478:{\displaystyle R_{0}} 1453: 1451:{\displaystyle R_{0}} 1422: 1420:{\displaystyle R_{0}} 1395: 1393:{\displaystyle R_{0}} 1365: 1363:{\displaystyle R_{0}} 1330: 1328:{\displaystyle R_{e}} 1295: 1293:{\displaystyle R_{0}} 1264: 1262:{\displaystyle R_{t}} 1237: 1217: 1215:{\displaystyle R_{e}} 1179: 1163: 1139: 1097: 1068: 1045: 1043:{\displaystyle R_{0}} 1018: 1016:{\displaystyle R_{0}} 990: 988:{\displaystyle R_{0}} 947: 912: 882: 811:average excess degree 785: 783:{\displaystyle R_{0}} 736: 734:{\displaystyle R_{0}} 705: 703:{\displaystyle Z_{0}} 646: 635: 590: 538: 497: 495:{\displaystyle R_{0}} 470: 437: 396: 394:{\displaystyle R_{0}} 366: 364:{\displaystyle R_{0}} 338: 336:{\displaystyle R_{0}} 311: 309:{\displaystyle R_{0}} 274: 272:{\displaystyle R_{0}} 247: 245:{\displaystyle R_{e}} 220: 218:{\displaystyle R_{t}} 193: 138: 136:{\displaystyle R_{0}} 87: 85:{\displaystyle R_{0}} 60: 58:{\displaystyle R_{0}} 38: 21:Net reproduction rate 7028:Genomic reassortment 7008:Genetic epidemiology 6847:Health communication 6775:Flattening the curve 6765:Disease surveillance 6548:Systemic/Generalized 6312:Animal disease model 5792:Asymptomatic carrier 5333: 3641:(Suppl 1): S97-106. 3461:Stat Methods Med Res 3188:Adam D (July 2020). 2852: 2640:Respiratory droplets 2597:Respiratory droplets 2568:1918 pandemic strain 2493:Respiratory droplets 2393:Respiratory droplets 2287:Respiratory droplets 2226:Respiratory droplets 2192:Respiratory droplets 2176:Respiratory droplets 2142:Respiratory droplets 2108:Respiratory droplets 1995: 1952: 1917: 1870: 1832: 1804: 1784: 1764: 1735: 1708: 1680: 1650: 1609: 1576: 1543: 1516: 1489: 1462: 1435: 1404: 1377: 1347: 1312: 1277: 1246: 1226: 1199: 1168: 1106: 1077: 1057: 1027: 1000: 972: 921: 893: 819: 767: 757:Compartmental models 746:Compartmental models 718: 687: 603: 597:structured relations 564: 506: 479: 446: 413: 378: 348: 320: 293: 281:dimensionless number 256: 229: 202: 182: 120: 69: 42: 7095:Pandemic prevention 7051:Viral phylodynamics 7032:Re-emerging disease 6921:Travel restrictions 6125:Postoperative wound 6094:Blood-borne disease 6076:Respiratory droplet 5988:Vertical/Congenital 5973:Nosocomial/Hospital 5930:Spillover infection 5165:2020PLoSO..1542128B 5110:2020Sci...370..303P 5104:(6514): 303.2–304. 5031:10.1093/jtm/taab124 4994:. December 21, 2021 4785:The median of the R 4596:. Telegraph.Co.Uk. 4428:2001Natur.414..748G 4185:10.1093/jtm/taac037 3922:2004JThBi.229..119C 3777:10.1155/2011/527610 3760:"The failure of R0" 3419:2022PhRvE.105e2301H 3246:Stanford University 3206:2020Natur.583..346A 3169:on February 1, 2020 3103:2009Sci...324.1557F 2698: 2538: 2042: 1429:mathematical models 958:degree distribution 558:endemic equilibrium 554:herd immunity level 7041:Selection pressure 6337:Force of infection 5965:Contagious disease 5900:Endogenous seeding 5797:Chain of infection 5721:Injection drug use 5632:Vaccination status 5515:Case fatality rate 5433:infectious disease 5346: 5239:Acta Biotheoretica 5220:has a profile for 4911:Antiviral Research 4555:10.1093/cid/ciz808 3770:(527610): 527610. 3590:10.1007/BF00178324 3366:10.1093/cid/cir007 2865: 2838:In popular culture 2685: 2637:(seasonal strains) 2525: 2390:(seasonal strains) 2284:(e.g., rhinovirus) 2029: 2008: 1965: 1930: 1883: 1853: 1810: 1790: 1770: 1748: 1721: 1693: 1663: 1628: 1595: 1562: 1529: 1502: 1475: 1448: 1417: 1390: 1360: 1325: 1290: 1259: 1232: 1212: 1190: 1174: 1134: 1132: 1092: 1090: 1063: 1040: 1013: 985: 942: 907: 877: 780: 741:estimation methods 731: 700: 649: 630: 585: 533: 492: 465: 432: 403:infectious disease 391: 361: 333: 306: 269: 242: 215: 188: 133: 108:(sometimes called 94: 82: 55: 7115: 7114: 7105:Tropical medicine 7046:Synthetic biology 6947: 6946: 6906:Social distancing 6859:Outbreak response 6480: 6479: 6307:Agent-based model 6293: 6292: 6289: 6288: 6285: 6284: 5832:Natural reservoir 5822:Infectious period 5812:Incubation period 5769: 5768: 5725:Natural disaster 5694:Tropical diseases 5677:Biodiversity loss 5614:Risk of infection 5604:Microbiome health 5597:Immunosuppression 5392:978-3-540-78910-9 5226: 4991:Nebraska Medicine 4950:Euro Surveillance 4872:(23): 2230–2241. 4098:(12): e420–e428. 4017:978-0-323-95389-4 3397:Physical Review E 3200:(7816): 346–348. 3097:(5934): 1557–61. 3060:978-1-118-63652-7 2971:Calculated using 2842:In the 2011 film 2832: 2831: 2676: 2675: 2516: 2515: 1991:. Estimations of 1895:survival function 1813:{\displaystyle R} 1793:{\displaystyle R} 1773:{\displaystyle R} 1235:{\displaystyle R} 1177:{\displaystyle R} 1161: 1131: 1089: 866: 198:(usually written 191:{\displaystyle R} 7150: 7100:Tropical disease 7036:Reverse zoonosis 7023:One Health Model 6852:Health education 6841:Community health 6760:Cordon sanitaire 6733:Ring vaccination 6703:Repurposed drugs 6590: 6589: 6509:Gastrointestinal 6352:Machine learning 6156:Gastrointestinal 6107:Intravenous line 6044: 6043: 5958:/Cross-infection 5945:Reverse zoonosis 5918: 5917: 5875: 5874: 5780: 5779: 5761:War and conflict 5629:Nutrition status 5592:Immunodeficiency 5449: 5448: 5425: 5418: 5411: 5402: 5401: 5396: 5369: 5367: 5365: 5360: 5355: 5353: 5352: 5347: 5345: 5344: 5323: 5313: 5280: 5262: 5224: 5214: 5213: 5197: 5196: 5186: 5176: 5159:(11): e0242128. 5144: 5138: 5137: 5093: 5087: 5086: 5084: 5082: 5067: 5061: 5060: 5050: 5010: 5004: 5003: 5001: 4999: 4982: 4976: 4975: 4965: 4941: 4935: 4934: 4906: 4900: 4899: 4881: 4857: 4851: 4850: 4837: 4801: 4792: 4791: 4774: 4764: 4755:(6): 1069–1094. 4740: 4734: 4733: 4723: 4683: 4677: 4676: 4674: 4668:. Archived from 4659: 4625: 4616: 4610: 4609: 4607: 4605: 4591: 4583: 4577: 4576: 4566: 4534: 4528: 4527: 4521: 4502: 4496: 4495: 4486: 4484: 4469: 4463: 4462: 4460: 4458: 4422:(6865): 748–51. 4413: 4405: 4399: 4398: 4388: 4378: 4354: 4348: 4347: 4323: 4317: 4316: 4288: 4282: 4281: 4253: 4247: 4246: 4244: 4242: 4236: 4221: 4215: 4214: 4204: 4164: 4155: 4149: 4143: 4142: 4140: 4138: 4133: 4122: 4116: 4115: 4083: 4077: 4076: 4066: 4034: 4028: 4027: 4026: 4024: 3991: 3985: 3984: 3967:(13): 1697–707. 3956: 3950: 3949: 3915: 3895: 3889: 3888: 3866: 3860: 3859: 3851: 3845: 3844: 3834: 3828: 3827: 3826: 3824: 3809: 3800: 3799: 3789: 3779: 3755: 3746: 3745: 3743: 3741: 3718: 3712: 3711: 3701: 3691: 3667: 3661: 3660: 3650: 3626: 3620: 3619: 3601: 3573: 3567: 3566: 3557: 3551: 3550: 3530: 3524: 3523: 3513: 3503: 3479: 3473: 3472: 3456: 3447: 3446: 3412: 3388: 3379: 3378: 3368: 3344: 3338: 3337: 3327: 3291: 3276: 3275: 3273: 3271: 3256: 3250: 3249: 3243: 3234: 3228: 3227: 3217: 3185: 3179: 3178: 3176: 3174: 3165:. Archived from 3142: 3133: 3132: 3122: 3082: 3073: 3072: 3046: 3029: 3022: 3011: 3008: 2999: 2997: 2996: 2994: 2993: 2985: 2982: 2969: 2933:software program 2909: 2904: 2903: 2895: 2890: 2889: 2888: 2874: 2872: 2871: 2866: 2864: 2863: 2827: 2826: 2822: 2817: 2811: 2810: 2806: 2801: 2791:ancestral strain 2699: 2684: 2671: 2670: 2666: 2661: 2655: 2654: 2650: 2645: 2628: 2627: 2623: 2618: 2612: 2611: 2607: 2602: 2539: 2524: 2508: 2507: 2503: 2498: 2466: 2465: 2461: 2456: 2450: 2449: 2445: 2440: 2431:Andes hantavirus 2424: 2423: 2419: 2414: 2408: 2407: 2403: 2398: 2381: 2380: 2376: 2371: 2365: 2364: 2360: 2355: 2334: 2333: 2329: 2324: 2318: 2317: 2313: 2308: 2275: 2274: 2270: 2265: 2259: 2258: 2254: 2249: 2159:Fecal–oral route 2043: 2028: 2017: 2015: 2014: 2009: 2007: 2006: 1974: 1972: 1971: 1966: 1964: 1963: 1939: 1937: 1936: 1931: 1929: 1928: 1892: 1890: 1889: 1884: 1882: 1881: 1862: 1860: 1859: 1854: 1852: 1851: 1847: 1819: 1817: 1816: 1811: 1799: 1797: 1796: 1791: 1779: 1777: 1776: 1771: 1757: 1755: 1754: 1749: 1747: 1746: 1730: 1728: 1727: 1722: 1720: 1719: 1702: 1700: 1699: 1694: 1692: 1691: 1672: 1670: 1669: 1664: 1662: 1661: 1637: 1635: 1634: 1629: 1621: 1620: 1604: 1602: 1601: 1596: 1588: 1587: 1571: 1569: 1568: 1563: 1555: 1554: 1538: 1536: 1535: 1530: 1528: 1527: 1511: 1509: 1508: 1503: 1501: 1500: 1484: 1482: 1481: 1476: 1474: 1473: 1457: 1455: 1454: 1449: 1447: 1446: 1426: 1424: 1423: 1418: 1416: 1415: 1399: 1397: 1396: 1391: 1389: 1388: 1369: 1367: 1366: 1361: 1359: 1358: 1334: 1332: 1331: 1326: 1324: 1323: 1300:by the fraction 1299: 1297: 1296: 1291: 1289: 1288: 1268: 1266: 1265: 1260: 1258: 1257: 1241: 1239: 1238: 1233: 1221: 1219: 1218: 1213: 1211: 1210: 1186:Welsh Government 1183: 1181: 1180: 1175: 1162: 1143: 1141: 1140: 1135: 1133: 1124: 1118: 1117: 1101: 1099: 1098: 1093: 1091: 1082: 1072: 1070: 1069: 1064: 1049: 1047: 1046: 1041: 1039: 1038: 1022: 1020: 1019: 1014: 1012: 1011: 994: 992: 991: 986: 984: 983: 951: 949: 948: 943: 941: 937: 936: 916: 914: 913: 908: 906: 886: 884: 883: 878: 867: 865: 854: 850: 849: 836: 831: 830: 789: 787: 786: 781: 779: 778: 740: 738: 737: 732: 730: 729: 709: 707: 706: 701: 699: 698: 677:George Macdonald 639: 637: 636: 631: 629: 628: 619: 594: 592: 591: 586: 584: 583: 574: 542: 540: 539: 534: 532: 531: 522: 501: 499: 498: 493: 491: 490: 474: 472: 471: 466: 458: 457: 441: 439: 438: 433: 425: 424: 407:infection models 400: 398: 397: 392: 390: 389: 370: 368: 367: 362: 360: 359: 342: 340: 339: 334: 332: 331: 315: 313: 312: 307: 305: 304: 278: 276: 275: 270: 268: 267: 251: 249: 248: 243: 241: 240: 224: 222: 221: 216: 214: 213: 197: 195: 194: 189: 142: 140: 139: 134: 132: 131: 91: 89: 88: 83: 81: 80: 64: 62: 61: 56: 54: 53: 7158: 7157: 7153: 7152: 7151: 7149: 7148: 7147: 7143:Disease ecology 7118: 7117: 7116: 7111: 7055: 6968:Antigenic shift 6963:Antigenic drift 6954: 6943: 6807:Barrier nursing 6755:Contact tracing 6746: 6739: 6584: 6582: 6575: 6486: 6476: 6377: 6371: 6362:Serial interval 6281: 6265: 6256:Cervico-vaginal 6251: 6242:Trans-placental 6237: 6221: 6189: 6151: 6087:Vascular system 6086: 6080: 6035: 6023: 6017: 5957: 5949: 5909: 5866: 5784: 5765: 5656: 5587:Immune response 5553: 5532:Drug resistance 5476:Infectious dose 5440: 5429: 5399: 5393: 5363: 5361: 5358: 5340: 5336: 5334: 5331: 5330: 5232: 5231: 5230: 5215: 5211: 5206: 5204:Further reading 5201: 5200: 5145: 5141: 5094: 5090: 5080: 5078: 5068: 5064: 5011: 5007: 4997: 4995: 4984: 4983: 4979: 4942: 4938: 4907: 4903: 4858: 4854: 4802: 4795: 4788: 4741: 4737: 4684: 4680: 4672: 4623: 4617: 4613: 4603: 4601: 4584: 4580: 4535: 4531: 4504: 4503: 4499: 4492: 4482: 4480: 4479:on May 12, 2020 4471: 4470: 4466: 4456: 4454: 4436:10.1038/414748a 4406: 4402: 4369:(6): e1000291. 4355: 4351: 4324: 4320: 4289: 4285: 4254: 4250: 4240: 4238: 4234: 4222: 4218: 4165: 4158: 4150: 4146: 4136: 4134: 4131: 4123: 4119: 4089: 4084: 4080: 4035: 4031: 4022: 4020: 4018: 3992: 3988: 3957: 3953: 3896: 3892: 3885: 3867: 3863: 3852: 3848: 3835: 3831: 3822: 3820: 3810: 3803: 3756: 3749: 3739: 3737: 3735: 3719: 3715: 3668: 3664: 3627: 3623: 3574: 3570: 3559: 3558: 3554: 3531: 3527: 3494:(4): e1002588. 3480: 3476: 3457: 3450: 3389: 3382: 3345: 3341: 3299: 3292: 3279: 3269: 3267: 3257: 3253: 3241: 3235: 3231: 3186: 3182: 3172: 3170: 3163: 3143: 3136: 3083: 3076: 3061: 3047: 3043: 3038: 3033: 3032: 3027: 3023: 3014: 3009: 3002: 2992: 2986: 2983: 2980: 2979: 2977: 2972: 2970: 2961: 2956: 2951: 2907:COVID-19 portal 2905: 2898: 2893:Medicine portal 2891: 2886: 2884: 2881: 2859: 2855: 2853: 2850: 2849: 2840: 2834: 2824: 2820: 2815: 2808: 2804: 2799: 2728:Omicron variant 2715: 2692: 2668: 2664: 2659: 2652: 2648: 2643: 2625: 2621: 2616: 2609: 2605: 2600: 2555: 2532: 2505: 2501: 2496: 2463: 2459: 2454: 2447: 2443: 2438: 2421: 2417: 2412: 2405: 2401: 2396: 2378: 2374: 2369: 2362: 2358: 2353: 2331: 2327: 2322: 2315: 2311: 2306: 2272: 2268: 2263: 2256: 2252: 2247: 2059: 2036: 2002: 1998: 1996: 1993: 1992: 1959: 1955: 1953: 1950: 1949: 1946: 1924: 1920: 1918: 1915: 1914: 1903:Jacobian matrix 1877: 1873: 1871: 1868: 1867: 1843: 1839: 1835: 1833: 1830: 1829: 1805: 1802: 1801: 1785: 1782: 1781: 1765: 1762: 1761: 1742: 1738: 1736: 1733: 1732: 1715: 1711: 1709: 1706: 1705: 1687: 1683: 1681: 1678: 1677: 1657: 1653: 1651: 1648: 1647: 1616: 1612: 1610: 1607: 1606: 1583: 1579: 1577: 1574: 1573: 1550: 1546: 1544: 1541: 1540: 1523: 1519: 1517: 1514: 1513: 1496: 1492: 1490: 1487: 1486: 1469: 1465: 1463: 1460: 1459: 1442: 1438: 1436: 1433: 1432: 1411: 1407: 1405: 1402: 1401: 1384: 1380: 1378: 1375: 1374: 1371: 1354: 1350: 1348: 1345: 1344: 1343:Limitations of 1319: 1315: 1313: 1310: 1309: 1284: 1280: 1278: 1275: 1274: 1253: 1249: 1247: 1244: 1243: 1227: 1224: 1223: 1206: 1202: 1200: 1197: 1196: 1169: 1166: 1165: 1152: 1150: 1122: 1113: 1109: 1107: 1104: 1103: 1080: 1078: 1075: 1074: 1058: 1055: 1054: 1034: 1030: 1028: 1025: 1024: 1007: 1003: 1001: 998: 997: 979: 975: 973: 970: 969: 966: 932: 928: 924: 922: 919: 918: 896: 894: 891: 890: 855: 845: 841: 837: 835: 826: 822: 820: 817: 816: 802: 796: 774: 770: 768: 765: 764: 754: 748: 743: 725: 721: 719: 716: 715: 694: 690: 688: 685: 684: 665: 624: 620: 615: 604: 601: 600: 579: 575: 570: 565: 562: 561: 527: 523: 518: 507: 504: 503: 486: 482: 480: 477: 476: 453: 449: 447: 444: 443: 420: 416: 414: 411: 410: 385: 381: 379: 376: 375: 355: 351: 349: 346: 345: 327: 323: 321: 318: 317: 300: 296: 294: 291: 290: 263: 259: 257: 254: 253: 236: 232: 230: 227: 226: 209: 205: 203: 200: 199: 183: 180: 179: 157:expected number 127: 123: 121: 118: 117: 76: 72: 70: 67: 66: 49: 45: 43: 40: 39: 31: 24: 17: 12: 11: 5: 7156: 7146: 7145: 7140: 7135: 7130: 7113: 7112: 7110: 7109: 7108: 7107: 7097: 7092: 7087: 7082: 7077: 7074: 7069: 7063: 7061: 7057: 7056: 7054: 7053: 7048: 7043: 7038: 7033: 7030: 7025: 7020: 7015: 7010: 7005: 7000: 6998:Emergent virus 6995: 6990: 6985: 6980: 6979: 6978: 6970: 6965: 6959: 6957: 6949: 6948: 6945: 6944: 6942: 6941: 6938: 6933: 6931:Vector control 6928: 6923: 6918: 6913: 6908: 6903: 6898: 6893: 6888: 6887: 6886: 6881: 6876: 6874:N95 respirator 6866: 6861: 6856: 6855: 6854: 6849: 6844: 6833: 6828: 6827: 6826: 6816: 6811: 6810: 6809: 6799: 6798: 6797: 6792: 6787: 6777: 6772: 6767: 6762: 6757: 6751: 6749: 6747:pharmaceutical 6741: 6740: 6738: 6737: 6736: 6735: 6730: 6725: 6720: 6715: 6705: 6700: 6695: 6690: 6685: 6680: 6679: 6678: 6668: 6663: 6658: 6653: 6648: 6643: 6638: 6637: 6636: 6626: 6625: 6624: 6614: 6609: 6608: 6607: 6596: 6594: 6593:Pharmaceutical 6587: 6577: 6576: 6574: 6573: 6570: 6565: 6560: 6555: 6550: 6545: 6544:Cardiovascular 6542: 6537: 6532: 6529: 6524: 6523:Nervous system 6521: 6518: 6517: 6516: 6506: 6505: 6504: 6499: 6490: 6488: 6482: 6481: 6478: 6477: 6475: 6474: 6469: 6464: 6459: 6454: 6449: 6444: 6439: 6434: 6429: 6424: 6419: 6414: 6409: 6408: 6407: 6402: 6392: 6387: 6381: 6379: 6373: 6372: 6370: 6369: 6364: 6359: 6354: 6349: 6347:Infection rate 6344: 6339: 6334: 6329: 6324: 6319: 6314: 6309: 6303: 6301: 6295: 6294: 6291: 6290: 6287: 6286: 6283: 6282: 6280: 6279: 6273: 6271: 6267: 6266: 6264: 6263: 6259: 6257: 6253: 6252: 6250: 6249: 6245: 6243: 6239: 6238: 6236: 6235: 6229: 6227: 6223: 6222: 6220: 6219: 6213: 6208: 6203: 6197: 6195: 6191: 6190: 6188: 6187: 6182: 6177: 6172: 6171: 6170: 6159: 6157: 6153: 6152: 6150: 6149: 6148: 6147: 6142: 6134: 6133: 6132: 6127: 6119: 6118: 6117: 6112: 6109: 6104: 6102:Injection site 6096: 6090: 6088: 6082: 6081: 6079: 6078: 6073: 6071:Dental aerosol 6068: 6067: 6066: 6056: 6050: 6048: 6041: 6037: 6036: 6034: 6033: 6027: 6025: 6019: 6018: 6016: 6015: 6010: 6009: 6008: 6003: 6002: 6001: 5996: 5993: 5982: 5981: 5980: 5975: 5967: 5961: 5959: 5955:Human-to-human 5951: 5950: 5948: 5947: 5942: 5937: 5932: 5926: 5924: 5915: 5911: 5910: 5908: 5907: 5901: 5898: 5895: 5890: 5885: 5881: 5879: 5872: 5868: 5867: 5865: 5864: 5859: 5854: 5852:Super-spreader 5849: 5847:Superinfection 5844: 5839: 5834: 5829: 5824: 5819: 5814: 5809: 5804: 5799: 5794: 5788: 5786: 5777: 5771: 5770: 5767: 5766: 5764: 5763: 5758: 5756:Vector control 5753: 5748: 5743: 5738: 5733: 5732: 5731: 5723: 5718: 5713: 5708: 5703: 5698: 5697: 5696: 5691: 5685:Climate zones 5683: 5681:Climate change 5678: 5675: 5672: 5666: 5664: 5658: 5657: 5655: 5654: 5653: 5652: 5649: 5646: 5645: 5644: 5636: 5633: 5630: 5627: 5624: 5616: 5611: 5606: 5601: 5600: 5599: 5594: 5584: 5579: 5574: 5569: 5563: 5561: 5555: 5554: 5552: 5551: 5546: 5545: 5544: 5539: 5534: 5524: 5523: 5522: 5517: 5512: 5507: 5497: 5495:Quorum sensing 5492: 5491: 5490: 5480: 5479: 5478: 5468: 5463: 5457: 5455: 5446: 5442: 5441: 5428: 5427: 5420: 5413: 5405: 5398: 5397: 5391: 5370: 5343: 5339: 5324: 5296:(4): 281–293. 5281: 5245:(3): 189–204. 5233: 5216: 5209: 5208: 5207: 5205: 5202: 5199: 5198: 5139: 5088: 5062: 5005: 4977: 4936: 4901: 4852: 4793: 4786: 4735: 4698:(2): 316–321. 4678: 4634:(9): 638–640. 4611: 4578: 4529: 4512:. p. 26. 4497: 4490: 4464: 4400: 4349: 4318: 4283: 4264:(2): 265–302. 4248: 4216: 4179:(3). Table 1. 4156: 4144: 4117: 4087: 4078: 4029: 4016: 3986: 3951: 3890: 3883: 3861: 3846: 3829: 3801: 3747: 3734:978-3642391491 3733: 3713: 3662: 3648:10.1086/425271 3621: 3568: 3552: 3525: 3488:PLOS Pathogens 3474: 3448: 3403:(5): L052301. 3380: 3359:(7): 911–916. 3339: 3297: 3277: 3251: 3229: 3180: 3161: 3134: 3074: 3059: 3040: 3039: 3037: 3034: 3031: 3030: 3025: 3012: 3000: 2990: 2958: 2957: 2955: 2952: 2950: 2949: 2944: 2939: 2934: 2928: 2926:E-epidemiology 2923: 2918: 2912: 2911: 2910: 2896: 2880: 2877: 2862: 2858: 2839: 2836: 2830: 2829: 2813: 2797: 2794: 2783: 2782: 2779: 2776: 2773: 2762: 2761: 2758: 2755: 2752: 2741: 2740: 2737: 2734: 2731: 2720: 2719: 2716: 2713: 2708: 2703: 2690: 2674: 2673: 2657: 2641: 2638: 2631: 2630: 2614: 2598: 2595: 2581: 2580: 2577: 2574: 2571: 2560: 2559: 2556: 2553: 2548: 2543: 2530: 2514: 2513: 2510: 2494: 2491: 2485: 2484: 2481: 2478: 2475: 2469: 2468: 2452: 2436: 2433: 2427: 2426: 2410: 2394: 2391: 2384: 2383: 2367: 2351: 2348: 2337: 2336: 2320: 2304: 2301: 2295: 2294: 2291: 2288: 2285: 2278: 2277: 2261: 2245: 2240: 2234: 2233: 2230: 2227: 2224: 2218: 2217: 2214: 2211: 2206: 2200: 2199: 2196: 2193: 2190: 2184: 2183: 2180: 2177: 2174: 2168: 2167: 2164: 2161: 2156: 2150: 2149: 2146: 2143: 2140: 2134: 2133: 2130: 2127: 2124: 2117: 2116: 2113: 2110: 2105: 2099: 2098: 2095: 2092: 2089: 2082: 2081: 2078: 2075: 2070: 2064: 2063: 2060: 2057: 2052: 2047: 2034: 2005: 2001: 1962: 1958: 1945: 1942: 1927: 1923: 1880: 1876: 1850: 1846: 1842: 1838: 1809: 1789: 1769: 1745: 1741: 1718: 1714: 1690: 1686: 1660: 1656: 1627: 1624: 1619: 1615: 1594: 1591: 1586: 1582: 1561: 1558: 1553: 1549: 1526: 1522: 1499: 1495: 1472: 1468: 1445: 1441: 1414: 1410: 1387: 1383: 1370: 1357: 1353: 1341: 1322: 1318: 1287: 1283: 1256: 1252: 1231: 1209: 1205: 1173: 1149: 1146: 1130: 1127: 1121: 1116: 1112: 1088: 1085: 1062: 1037: 1033: 1010: 1006: 982: 978: 965: 962: 952:is the second 940: 935: 931: 927: 905: 902: 899: 876: 873: 870: 864: 861: 858: 853: 848: 844: 840: 834: 829: 825: 798:Main article: 795: 792: 777: 773: 750:Main article: 747: 744: 742: 728: 724: 712: 697: 693: 664: 661: 627: 623: 618: 614: 611: 608: 582: 578: 573: 569: 530: 526: 521: 517: 514: 511: 489: 485: 464: 461: 456: 452: 431: 428: 423: 419: 388: 384: 358: 354: 330: 326: 303: 299: 266: 262: 239: 235: 212: 208: 187: 130: 126: 79: 75: 52: 48: 15: 9: 6: 4: 3: 2: 7155: 7144: 7141: 7139: 7136: 7134: 7131: 7129: 7126: 7125: 7123: 7106: 7103: 7102: 7101: 7098: 7096: 7093: 7091: 7088: 7086: 7083: 7081: 7078: 7075: 7073: 7070: 7068: 7065: 7064: 7062: 7058: 7052: 7049: 7047: 7044: 7042: 7039: 7037: 7034: 7031: 7029: 7026: 7024: 7021: 7019: 7016: 7014: 7011: 7009: 7006: 7004: 7001: 6999: 6996: 6994: 6991: 6989: 6986: 6984: 6981: 6977: 6974: 6973: 6971: 6969: 6966: 6964: 6961: 6960: 6958: 6956: 6950: 6939: 6937: 6934: 6932: 6929: 6927: 6924: 6922: 6919: 6917: 6914: 6912: 6911:Sterilization 6909: 6907: 6904: 6902: 6899: 6897: 6894: 6892: 6889: 6885: 6882: 6880: 6879:Surgical mask 6877: 6875: 6872: 6871: 6870: 6867: 6865: 6862: 6860: 6857: 6853: 6850: 6848: 6845: 6842: 6839: 6838: 6837: 6836:Public health 6834: 6832: 6829: 6825: 6822: 6821: 6820: 6817: 6815: 6812: 6808: 6805: 6804: 6803: 6800: 6796: 6793: 6791: 6788: 6786: 6783: 6782: 6781: 6778: 6776: 6773: 6771: 6768: 6766: 6763: 6761: 6758: 6756: 6753: 6752: 6750: 6748: 6742: 6734: 6731: 6729: 6726: 6724: 6721: 6719: 6716: 6714: 6711: 6710: 6709: 6706: 6704: 6701: 6699: 6696: 6694: 6691: 6689: 6688:Phage therapy 6686: 6684: 6681: 6677: 6674: 6673: 6672: 6671:Immunotherapy 6669: 6667: 6664: 6662: 6659: 6657: 6654: 6652: 6649: 6647: 6644: 6642: 6639: 6635: 6632: 6631: 6630: 6629:Antimicrobial 6627: 6623: 6620: 6619: 6618: 6615: 6613: 6610: 6606: 6603: 6602: 6601: 6598: 6597: 6595: 6591: 6588: 6586: 6578: 6571: 6569: 6566: 6564: 6561: 6559: 6556: 6554: 6551: 6549: 6546: 6543: 6541: 6538: 6536: 6533: 6530: 6528: 6525: 6522: 6520:Genitourinary 6519: 6515: 6512: 6511: 6510: 6507: 6503: 6500: 6498: 6495: 6494: 6492: 6491: 6489: 6483: 6473: 6470: 6468: 6465: 6463: 6460: 6458: 6455: 6453: 6450: 6448: 6445: 6443: 6440: 6438: 6435: 6433: 6430: 6428: 6425: 6423: 6420: 6418: 6415: 6413: 6410: 6406: 6403: 6401: 6398: 6397: 6396: 6393: 6391: 6388: 6386: 6383: 6382: 6380: 6378:in population 6374: 6368: 6365: 6363: 6360: 6358: 6355: 6353: 6350: 6348: 6345: 6343: 6342:Herd immunity 6340: 6338: 6335: 6333: 6330: 6328: 6325: 6323: 6320: 6318: 6315: 6313: 6310: 6308: 6305: 6304: 6302: 6300: 6296: 6278: 6275: 6274: 6272: 6268: 6261: 6260: 6258: 6254: 6247: 6246: 6244: 6240: 6234: 6231: 6230: 6228: 6226:Genitourinary 6224: 6218: 6214: 6212: 6209: 6207: 6204: 6202: 6199: 6198: 6196: 6192: 6186: 6183: 6181: 6178: 6176: 6173: 6169: 6168:Contamination 6166: 6165: 6164: 6161: 6160: 6158: 6154: 6146: 6143: 6141: 6138: 6137: 6136:Vector-borne 6135: 6131: 6128: 6126: 6123: 6122: 6120: 6116: 6113: 6110: 6108: 6105: 6103: 6100: 6099: 6097: 6095: 6092: 6091: 6089: 6083: 6077: 6074: 6072: 6069: 6065: 6062: 6061: 6060: 6057: 6055: 6052: 6051: 6049: 6045: 6042: 6038: 6032: 6029: 6028: 6026: 6020: 6014: 6011: 6007: 6004: 6000: 5997: 5994: 5991: 5990: 5989: 5986: 5985: 5983: 5979: 5976: 5974: 5971: 5970: 5968: 5966: 5963: 5962: 5960: 5956: 5952: 5946: 5943: 5941: 5938: 5936: 5933: 5931: 5928: 5927: 5925: 5923: 5922:Cross-species 5919: 5916: 5912: 5905: 5902: 5899: 5896: 5894: 5891: 5889: 5886: 5883: 5882: 5880: 5876: 5873: 5869: 5863: 5862:Window period 5860: 5858: 5855: 5853: 5850: 5848: 5845: 5843: 5840: 5838: 5835: 5833: 5830: 5828: 5827:Latent period 5825: 5823: 5820: 5818: 5815: 5813: 5810: 5808: 5805: 5803: 5800: 5798: 5795: 5793: 5790: 5789: 5787: 5781: 5778: 5776: 5772: 5762: 5759: 5757: 5754: 5752: 5749: 5747: 5744: 5742: 5739: 5737: 5734: 5730: 5727: 5726: 5724: 5722: 5719: 5717: 5714: 5712: 5709: 5707: 5706:Deforestation 5704: 5702: 5699: 5695: 5692: 5690: 5687: 5686: 5684: 5682: 5679: 5676: 5673: 5671: 5668: 5667: 5665: 5663: 5659: 5651:Stress levels 5650: 5647: 5643: 5640: 5639: 5637: 5634: 5631: 5628: 5625: 5622: 5621: 5620: 5617: 5615: 5612: 5610: 5607: 5605: 5602: 5598: 5595: 5593: 5590: 5589: 5588: 5585: 5583: 5580: 5578: 5575: 5573: 5570: 5568: 5565: 5564: 5562: 5560: 5556: 5550: 5547: 5543: 5540: 5538: 5535: 5533: 5530: 5529: 5528: 5525: 5521: 5518: 5516: 5513: 5511: 5508: 5506: 5503: 5502: 5501: 5498: 5496: 5493: 5489: 5486: 5485: 5484: 5483:Pathogenicity 5481: 5477: 5474: 5473: 5472: 5469: 5467: 5464: 5462: 5459: 5458: 5456: 5454: 5450: 5447: 5443: 5438: 5434: 5426: 5421: 5419: 5414: 5412: 5407: 5406: 5403: 5394: 5388: 5384: 5380: 5376: 5371: 5357: 5341: 5337: 5325: 5321: 5317: 5312: 5307: 5303: 5299: 5295: 5291: 5287: 5282: 5278: 5274: 5270: 5266: 5261: 5256: 5252: 5248: 5244: 5240: 5235: 5234: 5228: 5227: 5219: 5194: 5190: 5185: 5180: 5175: 5170: 5166: 5162: 5158: 5154: 5150: 5143: 5135: 5131: 5127: 5123: 5119: 5115: 5111: 5107: 5103: 5099: 5092: 5077: 5073: 5066: 5058: 5054: 5049: 5044: 5040: 5036: 5032: 5028: 5024: 5020: 5016: 5009: 4993: 4992: 4987: 4981: 4973: 4969: 4964: 4959: 4955: 4951: 4947: 4940: 4932: 4928: 4924: 4920: 4916: 4912: 4905: 4897: 4893: 4889: 4885: 4880: 4875: 4871: 4867: 4863: 4856: 4849: 4845: 4841: 4836: 4831: 4827: 4823: 4819: 4815: 4811: 4807: 4800: 4798: 4790: 4782: 4778: 4773: 4768: 4763: 4758: 4754: 4750: 4746: 4739: 4731: 4727: 4722: 4717: 4713: 4709: 4705: 4701: 4697: 4693: 4689: 4682: 4671: 4667: 4663: 4658: 4653: 4649: 4645: 4641: 4637: 4633: 4629: 4622: 4615: 4599: 4595: 4594:The Telegraph 4590: 4582: 4574: 4570: 4565: 4560: 4556: 4552: 4548: 4544: 4540: 4533: 4526: 4520: 4515: 4511: 4507: 4501: 4494: 4478: 4474: 4468: 4453: 4449: 4445: 4441: 4437: 4433: 4429: 4425: 4421: 4417: 4412: 4404: 4396: 4392: 4387: 4382: 4377: 4372: 4368: 4364: 4363:PLOS Medicine 4360: 4353: 4345: 4341: 4337: 4333: 4329: 4322: 4314: 4310: 4306: 4302: 4299:(4): 88–153. 4298: 4294: 4287: 4279: 4275: 4271: 4267: 4263: 4259: 4252: 4233: 4229: 4228: 4220: 4212: 4208: 4203: 4198: 4194: 4190: 4186: 4182: 4178: 4174: 4170: 4163: 4161: 4153: 4148: 4130: 4129: 4121: 4113: 4109: 4105: 4101: 4097: 4093: 4082: 4074: 4070: 4065: 4060: 4056: 4052: 4049:(4): 281–93. 4048: 4044: 4040: 4033: 4019: 4013: 4009: 4005: 4001: 3997: 3990: 3982: 3978: 3974: 3970: 3966: 3962: 3955: 3947: 3943: 3939: 3935: 3931: 3927: 3923: 3919: 3914: 3913:q-bio/0503006 3909: 3906:(1): 119–26. 3905: 3901: 3894: 3886: 3884:0-471-49241-8 3880: 3876: 3872: 3865: 3857: 3850: 3842: 3841: 3833: 3819: 3815: 3808: 3806: 3797: 3793: 3788: 3783: 3778: 3773: 3769: 3765: 3761: 3754: 3752: 3736: 3730: 3726: 3725: 3717: 3709: 3705: 3700: 3695: 3690: 3685: 3681: 3677: 3673: 3666: 3658: 3654: 3649: 3644: 3640: 3636: 3632: 3625: 3617: 3613: 3609: 3605: 3600: 3595: 3591: 3587: 3584:(4): 365–82. 3583: 3579: 3572: 3564: 3563: 3556: 3548: 3544: 3541:(9): 813–29. 3540: 3536: 3529: 3521: 3517: 3512: 3507: 3502: 3497: 3493: 3489: 3485: 3478: 3470: 3466: 3462: 3455: 3453: 3444: 3440: 3436: 3432: 3428: 3424: 3420: 3416: 3411: 3406: 3402: 3398: 3394: 3387: 3385: 3376: 3372: 3367: 3362: 3358: 3354: 3350: 3343: 3335: 3331: 3326: 3321: 3317: 3313: 3309: 3305: 3301: 3290: 3288: 3286: 3284: 3282: 3266: 3262: 3255: 3247: 3240: 3239:"Notes On R0" 3233: 3225: 3221: 3216: 3211: 3207: 3203: 3199: 3195: 3191: 3184: 3168: 3164: 3162:1-74186-357-0 3158: 3154: 3153: 3148: 3141: 3139: 3130: 3126: 3121: 3116: 3112: 3108: 3104: 3100: 3096: 3092: 3088: 3081: 3079: 3070: 3066: 3062: 3056: 3052: 3045: 3041: 3021: 3019: 3017: 3007: 3005: 2989: 2975: 2968: 2966: 2964: 2959: 2948: 2945: 2943: 2940: 2938: 2935: 2932: 2929: 2927: 2924: 2922: 2919: 2917: 2914: 2913: 2908: 2902: 2897: 2894: 2883: 2876: 2860: 2856: 2847: 2846: 2835: 2795: 2792: 2788: 2785: 2784: 2780: 2774: 2771: 2770:Alpha variant 2767: 2764: 2763: 2759: 2756: 2753: 2750: 2749:Delta variant 2746: 2743: 2742: 2738: 2735: 2732: 2729: 2725: 2722: 2721: 2717: 2712: 2709: 2707: 2704: 2701: 2700: 2696: 2695:herd immunity 2689: 2683: 2681: 2639: 2636: 2633: 2632: 2596: 2593: 2590: 2589:2009 pandemic 2586: 2583: 2582: 2578: 2575: 2572: 2569: 2565: 2562: 2561: 2557: 2552: 2549: 2547: 2544: 2541: 2540: 2536: 2535:herd immunity 2529: 2523: 2521: 2511: 2492: 2490: 2487: 2486: 2482: 2479: 2476: 2474: 2471: 2470: 2434: 2432: 2429: 2428: 2392: 2389: 2386: 2385: 2349: 2346: 2345:2014 outbreak 2342: 2339: 2338: 2302: 2300: 2297: 2296: 2292: 2289: 2286: 2283: 2280: 2279: 2244: 2241: 2239: 2236: 2235: 2231: 2228: 2225: 2223: 2220: 2219: 2215: 2212: 2210: 2207: 2205: 2202: 2201: 2197: 2194: 2191: 2189: 2186: 2185: 2181: 2178: 2175: 2173: 2170: 2169: 2165: 2162: 2160: 2157: 2155: 2152: 2151: 2147: 2144: 2141: 2139: 2136: 2135: 2131: 2128: 2125: 2122: 2119: 2118: 2114: 2111: 2109: 2106: 2104: 2101: 2100: 2096: 2093: 2090: 2087: 2084: 2083: 2079: 2076: 2074: 2071: 2069: 2066: 2065: 2061: 2056: 2053: 2051: 2048: 2045: 2044: 2040: 2039:herd immunity 2033: 2027: 2025: 2021: 2003: 1999: 1990: 1986: 1982: 1978: 1960: 1956: 1941: 1925: 1921: 1912: 1908: 1904: 1900: 1896: 1878: 1874: 1864: 1848: 1844: 1840: 1836: 1827: 1823: 1822:doubling time 1807: 1787: 1767: 1759: 1743: 1739: 1716: 1712: 1688: 1684: 1674: 1658: 1654: 1645: 1641: 1625: 1622: 1617: 1613: 1592: 1589: 1584: 1580: 1559: 1556: 1551: 1547: 1524: 1520: 1497: 1493: 1470: 1466: 1443: 1439: 1430: 1412: 1408: 1385: 1381: 1355: 1351: 1340: 1338: 1337:herd immunity 1335:drops below, 1320: 1316: 1307: 1303: 1285: 1281: 1272: 1254: 1250: 1229: 1207: 1203: 1195: 1187: 1171: 1145: 1128: 1125: 1119: 1114: 1110: 1086: 1083: 1060: 1051: 1035: 1031: 1008: 1004: 980: 976: 961: 959: 955: 933: 929: 900: 887: 874: 871: 868: 859: 846: 842: 832: 827: 823: 814: 812: 807: 801: 791: 775: 771: 762: 758: 753: 726: 722: 711: 695: 691: 682: 678: 674: 670: 660: 658: 657:microorganism 654: 645: 641: 625: 621: 616: 612: 609: 606: 598: 580: 576: 571: 567: 559: 555: 551: 548: 547: 546:Herd immunity 528: 524: 519: 515: 512: 509: 487: 483: 462: 459: 454: 450: 429: 426: 421: 417: 408: 404: 386: 382: 372: 356: 352: 328: 324: 301: 297: 288: 286: 285:doubling time 282: 264: 260: 237: 233: 210: 206: 185: 178: 174: 170: 166: 162: 158: 154: 150: 146: 128: 124: 115: 111: 107: 103: 99: 77: 73: 50: 46: 37: 33: 29: 22: 7128:Epidemiology 6819:Notification 6790:Hand washing 6785:Food hygiene 6770:Disinfection 6666:Immunization 6617:Anthelmintic 6605:prophylactic 6493:Respiratory 6417:Hyperendemic 6367:WAIFW matrix 6321: 6022:Environment- 5775:Transmission 5751:Urbanization 5549:Host tropism 5445:Determinants 5431:Concepts in 5374: 5362:. 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Retrieved 3167:the original 3151: 3094: 3090: 3050: 3044: 2987: 2973: 2843: 2841: 2833: 2710: 2706:Transmission 2687: 2677: 2550: 2546:Transmission 2527: 2517: 2054: 2050:Transmission 2031: 1947: 1893:include the 1865: 1760: 1675: 1372: 1305: 1301: 1270: 1193: 1191: 1052: 967: 888: 815: 803: 755: 714:Overview of 673:Alfred Lotka 666: 650: 553: 549: 544: 373: 289: 225:, sometimes 148: 144: 143:(pronounced 113: 109: 105: 101: 98:epidemiology 95: 32: 7072:Eradication 6983:Biosecurity 6708:Vaccination 6683:Inoculation 6661:Drug safety 6656:Combination 6583:and Control 6531:Soft tissue 6485:Anatomical 6452:Seasonality 6432:Mesoendemic 6412:Holoendemic 6405:Farr's laws 6317:Attack rate 6115:Animal bite 6111:Insect bite 6047:Respiratory 5674:Air quality 5662:Environment 5572:Comorbidity 5488:Attack rate 5471:Infectivity 5364:November 6, 5260:1874/383700 4998:January 25, 4519:10665/70863 3173:February 1, 2477:Body fluids 2473:Nipah virus 2350:Body fluids 2282:Common cold 2209:Body fluids 2088:(varicella) 1642:), such as 669:Ronald Ross 653:infectivity 169:vaccination 161:susceptible 116:), denoted 7122:Categories 6955:infections 6896:Sanitation 6864:Quarantine 6723:resistance 6641:Antiseptic 6622:Ascaricide 6612:Antifungal 6600:Antibiotic 6581:Prevention 6514:Intestinal 6447:Prevalence 6427:Inequality 6376:Occurrence 6175:Breastmilk 6059:Bioaerosol 6031:Sapronosis 6006:Horizontal 5878:Endogenous 5857:Viral load 5817:Index case 5329:"Notes on 4820:: 852–64. 3410:2112.07538 3310:(1): 1–4. 3259:Siegel E. 3036:References 2686:Values of 2680:SARS-CoV-2 2526:Values of 2238:Diphtheria 2086:Chickenpox 2030:Values of 1899:eigenvalue 7138:Pandemics 7133:Epidemics 7067:Discovery 6993:Disease X 6953:Emerging 6901:Screening 6802:Isolation 6646:Antiviral 6472:Twindemic 6422:Incidence 6299:Modelling 6262:Perinatal 6194:Cutaneous 6085:Linked to 5995:Perinatal 5914:Exogenous 5906:formation 5648:Pregnancy 5505:Endotoxin 5500:Virulence 5225:(Q901464) 5134:222145689 5039:1708-8305 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Index

Net reproduction rate
R-value

epidemiology
infection
expected number
susceptible
immunized
vaccination
Australian Department of Health
effective reproduction number
dimensionless number
doubling time
infectious disease
infection models
Herd immunity
endemic equilibrium
structured relations

infectivity
microorganism
Ronald Ross
Alfred Lotka
George Macdonald
malaria
Compartmental models in epidemiology
Compartmental models
mathematical modeling of infectious diseases
Mathematical modelling of infectious disease
networks

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