Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence

The present paper studies a stochastic SIRS epidemic model with general incidence rate in a population of varying size. Sufficient conditions for the extinction and the existence of a unique stationary distribution are obtained. The analytical results are illustrated by computer simulations.

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Bibliographic Details
Published inStatistics & probability letters Vol. 83; no. 4; pp. 960 - 968
Main Authors Lahrouz, Aadil, Omari, Lahcen
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2013
Subjects
Extinction
Stationary distribution
Stochastic epidemic model
Stochastic epidemic model
Extinction
Stationary distribution
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Summary:The present paper studies a stochastic SIRS epidemic model with general incidence rate in a population of varying size. Sufficient conditions for the extinction and the existence of a unique stationary distribution are obtained. The analytical results are illustrated by computer simulations.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2012.12.021