A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate

A. Settati, A. Lahrouz, M. Zahri, A. Tridane, M. El Fatini, H. El Mahjour and M. Seaid

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: This work aims to give a detailed analysis of a stochastic epidemic model with a general incidence rate g(S)I. We introduce the generalized stochastic threshold Rs(g) that will be used as a threshold condition of extinction, persistence and existence of an ergodic stationary distribution. We also investigate the critical case when Rs(g)=1. Numerical illustrations of the findings are given via different types of function g.

Keywords: Stochastic epidemic model; Stochastic stability; Persistence; Stationary distribution (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000436

DOI: 10.1016/j.chaos.2021.110690

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