With The Functional Response Of Predator Prey System Of Qualitative Analysis

Nowadays, since the complexity of ecological relations, mathematical methods and results have been used more and more frequently in ecology. And now population ecology has developed into a developed branch in which mathematics is most deeply applied.In recent years, the relationship of predator and prey has become a very important part in mathematics and ecology, and it is one of the basic relationships among species. The studying at it has theoretical significance and practical value. And the predator-prey system with functional response has received a great deal of attention in academic world. The predator-prey system with functional response is studied systemically in this paper. At first, the foundation and development of above-mentioned system are introduced; then, the state of study about the system with Holling functional response in home and abroad is summarized; lastly, based on Wang yuquan , Ma junying and document[14], the systems with linear harvesting rate are studied.This paper includes four chapters: the first part is an introduction; the second part is concerned with the foundation and development of the predator-prey system with functional response; the third part is concerned with some studies about system above-mentioned; and the fourth part is a summing-up.