Analysis of a stochastic delay predator–prey system with jumps in a polluted environment

摘要

In this paper, a stochastic delay predator–prey system with Lévy jumps in a polluted environment is proposed and investigated. We verify that there is a unique global non-negative solution which is permanent in time average under certain conditions. Furthermore, the non-permanence of our model is investigated. Some recent results are improved and extended greatly.