The many guises of R0 (a didactic note)
- PMID: 27320680
- DOI: 10.1016/j.jtbi.2016.06.017
The many guises of R0 (a didactic note)
Abstract
The basic reproduction number R0 is, by definition, the expected life time number of offspring of a newborn individual. An operationalization entails a specification of what events are considered as "reproduction" and what events are considered as "transitions from one individual-state to another". Thus, an element of choice can creep into the concretization of the definition. The aim of this note is to clearly expose this possibility by way of examples from both population dynamics and infectious disease epidemiology.
Keywords: Basic reproduction number; Infectious disease dynamics; Next-generation matrix; Population dynamics.
Copyright © 2016 Elsevier Ltd. All rights reserved.
Similar articles
-
The basic reproduction number of vector-borne plant virus epidemics.Virus Res. 2017 Sep 15;241:196-202. doi: 10.1016/j.virusres.2017.06.014. Epub 2017 Jun 20. Virus Res. 2017. PMID: 28642061
-
On a new perspective of the basic reproduction number in heterogeneous environments.J Math Biol. 2012 Aug;65(2):309-48. doi: 10.1007/s00285-011-0463-z. Epub 2011 Aug 14. J Math Biol. 2012. PMID: 21842424
-
The basic reproduction number, R0, in structured populations.Math Biosci. 2019 Sep;315:108224. doi: 10.1016/j.mbs.2019.108224. Epub 2019 Jul 2. Math Biosci. 2019. PMID: 31276681
-
Threshold dynamics of a time periodic and two--group epidemic model with distributed delay.Math Biosci Eng. 2017 Oct/Dec 1;14(5-6):1535-1563. doi: 10.3934/mbe.2017080. Math Biosci Eng. 2017. PMID: 29161875
-
The estimation of the basic reproduction number for infectious diseases.Stat Methods Med Res. 1993;2(1):23-41. doi: 10.1177/096228029300200103. Stat Methods Med Res. 1993. PMID: 8261248 Review.
Cited by
-
Some models for epidemics of vector-transmitted diseases.Infect Dis Model. 2016 Aug 30;1(1):79-87. doi: 10.1016/j.idm.2016.08.001. eCollection 2016 Oct. Infect Dis Model. 2016. PMID: 29928722 Free PMC article.
-
From homogeneous eigenvalue problems to two-sex population dynamics.J Math Biol. 2017 Oct;75(4):783-804. doi: 10.1007/s00285-017-1114-9. Epub 2017 Mar 8. J Math Biol. 2017. PMID: 28275824
-
Modelling the effective reproduction number of vector-borne diseases: the yellow fever outbreak in Luanda, Angola 2015-2016 as an example.PeerJ. 2020 Feb 27;8:e8601. doi: 10.7717/peerj.8601. eCollection 2020. PeerJ. 2020. PMID: 32149023 Free PMC article.
-
Decoupling environmental effects and host population dynamics for anthrax, a classic reservoir-driven disease.PLoS One. 2018 Dec 12;13(12):e0208621. doi: 10.1371/journal.pone.0208621. eCollection 2018. PLoS One. 2018. PMID: 30540815 Free PMC article.
-
The effect of sexual transmission on Zika virus dynamics.J Math Biol. 2018 Dec;77(6-7):1917-1941. doi: 10.1007/s00285-018-1230-1. Epub 2018 Apr 25. J Math Biol. 2018. PMID: 29696377
MeSH terms
LinkOut - more resources
Full Text Sources
Other Literature Sources