Has The Function Of Reaction Feeding - Some Prey Food Chain System Research

In ecology, population ecology is one of the important branch. The food chain system as ecology and population dynamics of a specific organization, and in the same system, different biological, between different species to each other apart, they of complicated nonlinear relation between, and with environment make a whole.In recent years, the relationship between predator is maths and ecological field of study of a main issue. Predator predator--effect relation is biological species of the interaction of the basic relations between one of the predator prey species-the mutual relationship between research has important application value and theoretical significance. Functional reaction in the predator predator-prey system--the study plays an important role, including so many kinds of predator predator-prey system--are taken good research and application, but about the functional reaction has three species the research results of the food chain system is not much.This paper applied differential equation qualitative and stability, the basic principles of the research of several global stability of equilibrium model, this paper consists of three parts. The first chapter briefly problem the historical background of the emergence and the significance and this article mainly research content. The second chapter to study a harvest of functional reaction rate with the two species model inhibition, with HollingⅡ functional reaction and linear harvest of the hunt is established.according rate-the food chain system, predator-prey system model to determine the balance and limit cycle, the system has a global stability of the positive equilibrium and system of the existence and uniqueness of limit cycle. The third chapter of a class of functional reaction with harvest rate since inhibit three species model, discussed the has Hollingll kind of functional reaction and linear harvest of the three species of rate predator-prey system, studies the global stability of the equilibrium point and system of survive conditions; And with the software validation model of the correctness of the conclusion.