Abstract:

With the help of  the energy estimate method, the existence, uniqueness and uniform boundedness of global solutions for a cross diffusion preypredator model with BeddingtonDeAngelis functional response were proved.  The sufficient condition of global asymptotic stability of the unique positive equilibrium point for this model was given  by constructing Lyapunov function.

Key words: selfdiffusion, crossdiffusion, BeddingtonDeAngelis functional response, global solutions, stability