A predator-prey model with effect of toxicity and with stochastic perturbation

Abstract

This paper reports on the behaviors of stochastic predator-prey populations in toxic environment. We show that the model established in this paper possesses non-negative solutions as this is essential in any population dynamics model. We also carry out analysis on the asymptotic behaviour of the model. We show that the model is ultimate bounded under suitable condition. At last, numerical simulations are carried out to support our results.