The Research Of The Predator-prey System Between Two Species In The Ecosystem

With the development of the society,it is found that the biomathematics is playing a important role.Many biological mathematical models are established by scientists in which the predator-prey model is researched widely.By analyzing the predator-prey model we know that it can guide people to protect the environment.Thus it has an important significance to protect the ecological environment and sustain the development.People mainly study the dynamics properties of the predator-prey system,such as permanence?global attractivity and extinction and so on.This paper mainly study the permanence and the global attractivity of a kind of predator-prey system via the comparison theorem and the Lyapunov function.This paper is consisted of the following three chapters.In chapter 1,we outline the preparations?historical background and the main works of this paper.In chapter 2,we study the permanence of a kind of predator-prey system by the comparison theorem.In chapter 3,we primarily study the global attra-ctivity of a kind of predator-prey system by means of the Lyapunov function.