Environmental variability in a stochastic epidemic model

作者：

Highlights：

• A stochastic epidemic model with mean-reverting process is developed.

• The stochastic extinction and persistence of the SDE model are given.

• The large intensity of volatility can suppress the outbreak of the disease.

• The smaller intensity of volatility can enhance the endemic dynamics.

摘要

•A stochastic epidemic model with mean-reverting process is developed.•The stochastic extinction and persistence of the SDE model are given.•The large intensity of volatility can suppress the outbreak of the disease.•The smaller intensity of volatility can enhance the endemic dynamics.

论文关键词：Environment fluctuations,Mean-reverting,Intensity of volatility,Speed of reversion,Stationary distribution

论文评审过程：Received 23 July 2017, Revised 29 October 2017, Accepted 3 February 2018, Available online 28 February 2018, Version of Record 28 February 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.02.009