Qualitative Study Of Solutions To A Class Of Two Species Cooperation Model

This paper is a qualitative study of solutions to a class of two species cooperation model. The super solution and sub-solution method is applied to discuss in Sobolev space.In biology, two species issue has been the concern of concerned ones, and the prey-predator model, the parasitic model have been more fully the research, while cooperation model also attract people's attention. The cooperation model itself is not only widespread in nature, but the cooperation model itself is common in today's society which is an important way the development of things. Results of the existing research on the two species cooperation model are almost linear diffusion model, while two species cooperation model with periodic sources and nonlinear diffusion is in the blank. The research on the cooperation model with periodic sources and nonlinear diffusion parabolic is not only in role of the biological system of population distribution, but also in other areas, such as enterprise development, community cooperation, the government work of guiding.This paper will discuss a class of a two species cooperation model (?)within species competition and cooperation to meet the relations of c M eM ? bl fl between species.This paper is divided into two types of the constant coefficient system and the system with periodic sources in accordance with the order from easy to difficult discussions. It will use the super solution and sub-solution method, structure, proved by the comparison theorem, monotone iterative, structure mapping, the corresponding results obtained.