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

Aadil Lahrouz and Lahcen Omari

Statistics & Probability Letters, 2013, vol. 83, issue 4, 960-968

Abstract: 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.

Keywords: Stochastic epidemic model; Extinction; Stationary distribution (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (42)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:83:y:2013:i:4:p:960-968

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DOI: 10.1016/j.spl.2012.12.021

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