A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate (2021)

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

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.

Reference

Chaos, Solitons & Fractals 144 (2021): 110690. DOI: 110.1016/j.chaos.2021.110690 ↩