Survival and ergodicity of a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment

作者：

Highlights：

• A stochastic phytoplankton–zooplankton model is formulated.

• The extinction and persistence in mean are analysed.

• The ergodicity and stationary distribution are investigated.

• Environmental noise and toxic substances can change the survival fate of plankton.

摘要

•A stochastic phytoplankton–zooplankton model is formulated.•The extinction and persistence in mean are analysed.•The ergodicity and stationary distribution are investigated.•Environmental noise and toxic substances can change the survival fate of plankton.

论文关键词：Stochastic phytoplankton–zooplankton model,Toxin-producing phytoplankton,Impulsive polluted environment,Survival analysis,Ergodicity

论文评审过程：Received 16 May 2018, Revised 28 August 2018, Accepted 1 November 2018, Available online 22 November 2018, Version of Record 22 November 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.11.005