Several Kinds Of Functional Response Of Nonlinear Harvesting Rate Model

By means of basic theory of differential equations and nonlinear functional analysis, this paper discusses the predator model with functional response of nonlinear harvesting rate. In order to make the model closer to the actual situation, we consider the factors of the nonlinear harvesting rate of predator and prey,prey with density dependent, functional predation and so on. This paper is divided into four chapters.In the first chapter, we introduce the development, the research background, the status of research of predator model and the main work of this paper.In the second chapter, we discuss the model of nonlinear harvesting rate with Holling type functional response. We discuss the existence, local asymptotic stability and global stability of equilibrium point of this model.In the third chapter, we analysis the model of nonlinear harvesting rate with Holling type functional response. We discuss the existence, local asymptotic stability and global stability of equilibrium point of this model.