A stochastic SIRS epidemic model with nonlinear incidence rate

作者：

Highlights：

• A stochastic SIRS model with ratio-dependent incidence rate is developed.

• The global dynamics of the deterministic model is shown.

• The stochastic dynamics of the SDE model is given.

• The existence of a unique stationary distribution of the SDE model is displayed.

摘要

•A stochastic SIRS model with ratio-dependent incidence rate is developed.•The global dynamics of the deterministic model is shown.•The stochastic dynamics of the SDE model is given.•The existence of a unique stationary distribution of the SDE model is displayed.

论文关键词：Epidemic model,Basic reproduction number,Global stability,Stationary distribution,Permanence

论文评审过程：Received 9 July 2016, Revised 11 January 2017, Accepted 5 February 2017, Available online 23 February 2017, Version of Record 23 February 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.02.003