Stationary distribution and extinction of a stochastic predator–prey model with additional food and nonlinear perturbation

作者：

Highlights：

• A stochastic predator–prey model with additional food and nonlinear perturbation is studied.

• We establish sufficient conditions for the existence of an ergodic stationary distribution.

• The stationary distribution means that the two species can be persistent in the long run.

• We obtain sufficient conditions for extinction of the predator species in two cases.

摘要

•A stochastic predator–prey model with additional food and nonlinear perturbation is studied.•We establish sufficient conditions for the existence of an ergodic stationary distribution.•The stationary distribution means that the two species can be persistent in the long run.•We obtain sufficient conditions for extinction of the predator species in two cases.

论文关键词：Stochastic predator–prey model,Stationary distribution and ergodicity,Extinction,Habitat complexity,Additional food,Nonlinear perturbation

论文评审过程：Received 2 April 2017, Revised 1 August 2017, Accepted 18 September 2017, Available online 5 November 2017, Version of Record 5 November 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.09.030