The Research On The Predator-prey Models Of Two Species

Population ecology is an important branch of ecology science. Since the complexity of ecological relations, mathematical methodsand results have been used in and have emerged from ecology. Now population ecology has become the branch that mathematics is most deeply applied in and which is the most systematic one. The relationship between predator and prey is one of the basic relationships among species. Recently, because of its wide applications, the predator-prey system has received a great deal of attention of mathematicians and biologists. The predator-prey system are considered systemically in this paper. Some background knowledge and the state of study about the predator-prey system are introduced.This paper includes four chapters,the first part is an introduction,the second part is concerned with the state of construct and improvement about the predator-prey sys-tem,the third part is concerned with the state of research about the predator-prey system. Some new directions of predator-prey system are introduced in brief in the fourth part.