Dynamic Analysis of Stochastic Lotka-Volterra Predator-Prey Model with Discrete Delays and Feedback Control

Abstract

In this paper, a stochastic Lotka-Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved. Further, we investigate the asymptotic property of stochastic system at the positive equilibrium point of the corresponding deterministic model and establish sufficient conditions for the persistence and extinction of the model. Finally, the correctness of the theoretical derivation is verified by numerical simulations.