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

doi:10.1016/j.chaos.2021.110690

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

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 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 R_s(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 R_s(g)=1. Numerical illustrations of the findings are given via different types of function g.

Original language	English
Article number	110690
Journal	Chaos, Solitons and Fractals
Volume	144
DOIs	https://doi.org/10.1016/j.chaos.2021.110690
Publication status	Published - 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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10.1016/j.chaos.2021.110690

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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 = "Persistence, Stationary distribution, Stochastic epidemic model, Stochastic stability",

author = "A. Settati and A. Lahrouz and M. Zahri and A. Tridane and {El Fatini}, M. and {El Mahjour}, H. and M. Seaid",

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AU - Settati, A.

AU - Lahrouz, A.

AU - Zahri, M.

AU - Tridane, A.

AU - El Fatini, M.

AU - El Mahjour, H.

AU - Seaid, M.

PY - 2021/3

Y1 - 2021/3

N2 - 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.

AB - 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.

KW - Persistence

KW - Stationary distribution

KW - Stochastic epidemic model

KW - Stochastic stability

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

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

Abstract

Keywords

ASJC Scopus subject areas

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