Analysis of a delayed stochastic predator-prey model in a polluted environment

In this paper, we investigate two-species Lotka-Volterra delayed stochastic predator-prey systems, with and without pollution, denoted by (M) and (M0), respectively. We show that there exists a unique non-negative solution in each system that is permanent in time average under certain conditions. Moreover, the non-permanence of model (M) is studied. Finally, computer simulations are carried out to verify our results.