Dynamical analysis and numerical simulations on a crowley-Martin predator-prey model in stochastic environment

作者：

Highlights：

• Existence of T-periodic solution for a stochastic Crowley-Martin model with impulse is investigated.

• Asymptotical stability in probability for the Crowley-Martin model is discussed.

• Existence and ergodicity of stationary distribution for the Markov switching case are studied.

• Our conclusion improves and generalizes the corresponding existing ones.

摘要

•Existence of T-periodic solution for a stochastic Crowley-Martin model with impulse is investigated.•Asymptotical stability in probability for the Crowley-Martin model is discussed.•Existence and ergodicity of stationary distribution for the Markov switching case are studied.•Our conclusion improves and generalizes the corresponding existing ones.

论文关键词：Periodic solution,Asymptotical stability in probability,Stationary distribution,Markovian switching

论文评审过程：Received 16 December 2019, Revised 16 August 2021, Accepted 27 August 2021, Available online 6 September 2021, Version of Record 6 September 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126641