Extinction, persistence and density function analysis of a stochastic two-strain disease model with drug resistance mutation

作者：

Highlights：

• A stochastic two-strain disease model with drug resistance mutation is established.

• The threshold for extinction and persistence of disease is derived.

• We prove that there is a stationary solution to the stochastic system.

• The expression of probability density function around the endemic equilibrium of the deterministic model is obtained.

摘要

•A stochastic two-strain disease model with drug resistance mutation is established.•The threshold for extinction and persistence of disease is derived.•We prove that there is a stationary solution to the stochastic system.•The expression of probability density function around the endemic equilibrium of the deterministic model is obtained.

论文关键词：Drug resistance mutation,Extinction,Stationary distribution,Probability density function

论文评审过程：Received 5 January 2022, Revised 14 June 2022, Accepted 5 July 2022, Available online 23 July 2022, Version of Record 23 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127393