Qualitative Analysis Of Three Types Of Functional Response Of Predator - Prey System

Three kinds of food-predator system with functional resonse are considered in this paper.Some background knowledge and the state of study are introduced in the first chapter.Based on the fact,the no exploited predator-prey system with functional response are detailed considered,the quality of the equilibrium is discussed,the sufficient conditions of the existence and the nonexistence of the limit cycle are provided,and the before conclusions are bettered in the second chapter.The two kinds of exploited predator-prey systems with Very few harvesting rates on the prey populations and predator populations are considered in the third chapter:One with Holling II functional response ,another with Holling III functional response .the quality of the equilibriums are discussed,the sufficient Conditions of existence and nonexistence of the limit cycle in the two systems are obtained.Especially ,sufficient conditions for the systems to be at least many limit cycles are obtained,Finally,the models were made on the development of these two categories of research,the results have a certain significance to the people's production and life.