Persistence and extinction of a modified Leslie-Gower Holling-type II predator-prey stochastic model in polluted environments with impulsive toxicant input

In this paper, a modified Leslie-Gower Holling-type II two-predator one-prey stochastic model in polluted environments with impulsive toxicant input is proposed where we use an OrnsteinUhlenbeck process to improve the stochasticity of the environment. The sharp sufficient conditions for persistence in the mean and extinction are established. The results reveal that the persistence and extinction of the species have close relationships with the toxicant and environmental stochasticity. In addition, the theoretical results are verified by numerical simulation.

Automated summary

In this paper, a modified Leslie-Gower Holling-type II two-predator one-prey stochastic model in polluted environments with impulsive toxicant input is proposed with an OrnsteinUhlenbeck process to enhance environmental stochasticity. The sharp sufficient conditions for persistence in the mean and extinction are established, indicating close relationships between species persistence and extinction, toxicants, and environmental stochasticity. The theoretical results are further validated through numerical simulations.