Persistence and extinction in stochastic delay Logistic equation by incorporating Ornstein-Uhlenbeck process

作者：

Highlights：

• This is the first time to investigate the persistence and extinction of stochastic Logistic equation with Ornstein-Uhlenbeck process.

• Sufficient conditions for non-persistence are established.

• Adequate criteria for stochastic persistence and weak persistence are given.

摘要

•This is the first time to investigate the persistence and extinction of stochastic Logistic equation with Ornstein-Uhlenbeck process.•Sufficient conditions for non-persistence are established.•Adequate criteria for stochastic persistence and weak persistence are given.

论文关键词：Logistic models,Ornstein-Uhlenbeck process,Stochastic,Persistence,Extinction

论文评审过程：Received 10 January 2020, Revised 23 May 2020, Accepted 8 June 2020, Available online 26 June 2020, Version of Record 26 June 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125465