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, M. Seaid

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Article number110690
JournalChaos, Solitons and Fractals
Volume144
DOIs
Publication statusPublished - Mar 2021

Keywords

  • Persistence
  • Stationary distribution
  • Stochastic epidemic model
  • Stochastic stability

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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