Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence

作者：

Highlights：

• A Stochastic SIRS epidemic model with logistic growth and nonlinear incidence is probed.

• A critical parameter R0s for the ergodicity is presented.

• A unique stationary distribution exists under certain criteria.

• The existence of a unique stationary distribution implies stochastic weak stability.

• Sufficient conditions for the extinction of the disease are obtained.

摘要

•A Stochastic SIRS epidemic model with logistic growth and nonlinear incidence is probed.•A critical parameter R0s for the ergodicity is presented.•A unique stationary distribution exists under certain criteria.•The existence of a unique stationary distribution implies stochastic weak stability.•Sufficient conditions for the extinction of the disease are obtained.

论文关键词：Extinction,Logistic growth,Stationary distribution and ergodicity,Nonlinear incidence,Stochastic SIRS model

论文评审过程：Received 30 June 2019, Revised 5 January 2020, Accepted 9 February 2020, Available online 9 March 2020, Version of Record 9 March 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125143