A stochastic SIRS epidemic model with logistic growth and general nonlinear incidence rate

Qun Liu, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi and Bashir Ahmad

Physica A: Statistical Mechanics and its Applications, 2020, vol. 551, issue C

Abstract: In this paper, we consider a stochastic SIRS epidemic model with logistic growth and general nonlinear incidence rate. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the stochastic model by constructing a suitable stochastic Lyapunov function, which provides us a good description of persistence. We find that the hypothetical conditions on the nonlinear function are relative weak and valid for many forms of incidence rate.

Keywords: SIRS epidemic model; Logistic growth; General nonlinear incidence rate; Stationary distribution; Ergodicity (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:551:y:2020:i:c:s037843712030011x

DOI: 10.1016/j.physa.2020.124152

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