» Articles » PMID: 17490942

The Pluses and Minuses of R0

Overview
Date 2007 May 11
PMID 17490942
Citations 32
Authors
Affiliations
Soon will be listed here.
Abstract

The concept of the basic reproduction number (R0) occupies a central place in epidemic theory. The value of R0 determines the proportion of the population that becomes infected over the course of a (modelled) epidemic. In many models, (i) an endemic infection can persist only if R0>1, (ii) the value of R0 provides a direct measure of the control effort required to eliminate the infection, and (iii) pathogens evolve to maximize their value of R0. These three statements are not universally true. In this paper, some exceptions to them are discussed, based on the extensions of the SIR model.

Citing Articles

Understanding the challenges to COVID-19 vaccines and treatment options, herd immunity and probability of reinfection.

Al-Hatamleh M, Abusalah M, Hatmal M, Alshaer W, Ahmad S, Mohd-Zahid M J Taibah Univ Med Sci. 2022; 18(3):600-638.

PMID: 36570799 PMC: 9758618. DOI: 10.1016/j.jtumed.2022.11.007.


Estimation of basic reproduction number (R) of African swine fever (ASF) in mid-size commercial pig farms in Vietnam.

Mai N, Trinh T, Nguyen V, Lai T, Le N, Nguyen T Front Vet Sci. 2022; 9:918438.

PMID: 36246317 PMC: 9556723. DOI: 10.3389/fvets.2022.918438.


Why the Spectral Radius? An intuition-building introduction to the basic reproduction number.

Brouwer A Bull Math Biol. 2022; 84(9):96.

PMID: 35930076 PMC: 9355935. DOI: 10.1007/s11538-022-01057-9.


Parameter estimation and uncertainty quantification using information geometry.

Sharp J, Browning A, Burrage K, Simpson M J R Soc Interface. 2022; 19(189):20210940.

PMID: 35472269 PMC: 9042578. DOI: 10.1098/rsif.2021.0940.


Pathogens Spillover from Honey Bees to Other Arthropods.

Nanetti A, Bortolotti L, Cilia G Pathogens. 2021; 10(8).

PMID: 34451508 PMC: 8400633. DOI: 10.3390/pathogens10081044.


References
1.
Roberts M, Dobson A . The population dynamics of communities of parasitic helminths. Math Biosci. 1995; 126(2):191-214. DOI: 10.1016/0025-5564(94)00036-y. View

2.
Roberts M, Baker M, Jennings L, Sertsou G, Wilson N . A model for the spread and control of pandemic influenza in an isolated geographical region. J R Soc Interface. 2007; 4(13):325-30. PMC: 2359860. DOI: 10.1098/rsif.2006.0176. View

3.
Gomes M, Franco A, Gomes M, Medley G . The reinfection threshold promotes variability in tuberculosis epidemiology and vaccine efficacy. Proc Biol Sci. 2004; 271(1539):617-23. PMC: 1691632. DOI: 10.1098/rspb.2003.2606. View

4.
Feng Z, Castillo-Chavez C, Capurro A . A model for tuberculosis with exogenous reinfection. Theor Popul Biol. 2000; 57(3):235-47. DOI: 10.1006/tpbi.2000.1451. View

5.
Heesterbeek J, Roberts M . Threshold quantities for helminth infections. J Math Biol. 1995; 33(4):415-34. DOI: 10.1007/BF00176380. View