Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions

Autor:	Zhilan Feng, Nancy Hernandez-Ceron, P. van den Driessche
Rok vydání:	2013
Předmět:	Combinatorics Algebra and Number Theory Distribution (mathematics) Discrete time and continuous time Applied Mathematics Bounded function Applied mathematics Stage (hydrology) Disease control Disease transmission Analysis Mathematics
Zdroj:	Journal of Difference Equations and Applications. 19:1671-1693
ISSN:	1563-5120 1023-6198
DOI:	10.1080/10236198.2013.772597
Popis:	Using an approach similar to that for continuous-time models, derivations of and for discrete-time epidemic models with arbitrary stage distribution are presented, and the formulas are shown to be consistent with those obtained from biological considerations. Both models with specific distributions for the infectious stage and models with an arbitrarily distributed (bounded) infectious stage are considered. Results show that the formulas for and can be expressed in terms of disease transmission rates and the means of stage distributions. Examples of Susceptible-Exposed-Infected-Recovered models as well as a model with disease control (e.g. isolation or hospitalization) are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c46d14df7e9337b2d21eb378c9464a43 https://doi.org/10.1080/10236198.2013.772597 Zobrazit plný text záznamu