A stochastic SEIRS rabies model with population dispersal: Stationary distribution and probability density function

作者：

Highlights：

• A stochastic SEIRS rabies epidemic models with two patches is studied.

• We prove the existence and uniqueness of global positive solution for the stochastic model.

• Sufficient conditions for the existence of an ergodic stationary distribution.

• For no dog travel model, we obtain the exact expression of probability density function around.

• Numerical results are carried out to illustrate the theoretical results.

摘要

•A stochastic SEIRS rabies epidemic models with two patches is studied.•We prove the existence and uniqueness of global positive solution for the stochastic model.•Sufficient conditions for the existence of an ergodic stationary distribution.•For no dog travel model, we obtain the exact expression of probability density function around.•Numerical results are carried out to illustrate the theoretical results.

论文关键词：Rabies,Patch model,Stationary distribution,Ergodicity,Probability density function

论文评审过程：Received 1 June 2021, Revised 12 September 2021, Accepted 15 April 2022, Available online 26 April 2022, Version of Record 26 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127189