Dynamic behaviour of a predator-prey system with impulsive control strategy

In this paper, a class of predator-prey system with Beddington-DeAngelis functional response and Allee effect is studied, where impulsive effects are also considered in the model. By using small parameters perturbation skills, comparison theorem and Floquet theory for the impulsive equations, the globally asymptotical stability of the prey-eradication periodic solution and the persistence for the system are obtained. Finally, some numerical examples and simulations are presented by Matlab software to support the theoretical results. The influence of impulsive perturbation intensity and impulsive period on the persistence and periodic solution of the system are discussed.