Analysis of a delayed stochastic predator–prey model in a polluted environment.

Abstract: In this paper, we investigate two-species Lotka–Volterra delayed stochastic predator–prey systems, with and without pollution, denoted by and , 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 is studied. Finally, computer simulations are carried out to verify our results. [Copyright &y& Elsevier]