On the solution of the model of two co-affected species

This paper discusses a model of two coeffected species with diffusion system, where the birth functions have the characteristic index decline, and then the circumstance factors α₁ which are connected with natural resources, and the birth parameters β_i which could be controlled are introduced. By means of the upper-lower solutions, the existence, uniqueness and the local stability of equilibrium solution of the model are discussed. It’s discovered that the birth parameters β_i determine the developing tendency when other parameters are comparatively stable.