The Study Of Some Classes Of Predator-prey System With Different Disturbance Factors

In this paper, we mainly study the dynamics of some classes of predator-prey system with different disturbance factors. The article includes four chapters.The preface is in chapter1, we introduce the research background of this article, the main task and some important preliminaries.In Chapter2, a stage-structured predator-prey model with impulsive effect and Beddington-DeAngelis functional response is investigated. By using comparison theorem, sufficient condi-tions for the global attractivity of mature predator-extinction periodic solution and permanence of system are obtained. In the end, we make a brief summary of the paper.In Chapter3,we study a competitive predator-prey model which has one predator and two preys with Holling type-II functional response incorporating a constant proportion prey refuge. And using ordinary differential equation qualitative and stability method, we get the persistence of the system under certain conditions.Further by constructing lyapunov function method, we get the global asymptotic stability of the periodic solution.In Chapter4,we study a predator-prey model with Beddington-DeAngelis functional re-sponse incorporating a constant proportion prey refuge.we get the stability of the equilibrium.