Stationary solution, extinction and density function for a high-dimensional stochastic SEI epidemic model with general distributed delay
作者：
Highlights：
• A stochastic SEI epidemic model with general distributed delay is established.
• The existence of a unique global positive solution for the stochastic model are proved.
• We prove that there is a stationary solution to the stochastic system.
• Two probability density functions with respect to the stationary solution are obtained.
• Some sufficient conditions are established for the disease extinction of stochastic system.
摘要
•A stochastic SEI epidemic model with general distributed delay is established.•The existence of a unique global positive solution for the stochastic model are proved.•We prove that there is a stationary solution to the stochastic system.•Two probability density functions with respect to the stationary solution are obtained.•Some sufficient conditions are established for the disease extinction of stochastic system.
论文关键词：Stochastic SEI model,General distributed delay,Stationary solution,Extinction,Density function
论文评审过程：Received 3 January 2021, Revised 15 March 2021, Accepted 19 March 2021, Available online 27 April 2021, Version of Record 27 April 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126236
