Stationary distribution of a stochastic cholera model between communities linked by migration

作者：

Highlights：

• A stochastic cholera model between communities linked by migration is studied.

• We obtain sufficient conditions for the existence and uniqueness of an ergodic stationary distribution.

• Our result shows that the migration and the small white noise are not beneficial for eliminating cholera.

• Some examples together with numerical simulations are introduced to support the theoretical result.

摘要

•A stochastic cholera model between communities linked by migration is studied.•We obtain sufficient conditions for the existence and uniqueness of an ergodic stationary distribution.•Our result shows that the migration and the small white noise are not beneficial for eliminating cholera.•Some examples together with numerical simulations are introduced to support the theoretical result.

论文关键词：Cholera model,Stationary distribution,Ergodicity,Migration

论文评审过程：Received 3 June 2019, Revised 18 November 2019, Accepted 25 December 2019, Available online 14 January 2020, Version of Record 14 January 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2019.125021