A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function

作者：

Highlights：

• A stochastic chemostat model with mean reverting Ornstein Uhlenbeck process and Monod Haldane response function is considered.

• The existence of global unique positive solution of stochastic system is obtained.

• The su ffi cient conditions for extinction exponentially and persistence in the mean are established.

• Computer simulations illustrate the main results.

摘要

•A stochastic chemostat model with mean reverting Ornstein Uhlenbeck process and Monod Haldane response function is considered.•The existence of global unique positive solution of stochastic system is obtained.•The su ffi cient conditions for extinction exponentially and persistence in the mean are established.•Computer simulations illustrate the main results.

论文关键词：Stochastic chemostat model,Ornstein-Uhlenbeck process,Monod-Haldane response function,Extinction exponentially,Persistence in the mean

论文评审过程：Received 13 March 2020, Revised 3 November 2020, Accepted 16 November 2020, Available online 9 December 2020, Version of Record 9 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125833