Abstract:

Using iteration method and comparison principle, global asymptotical stability of a reactiondiffusion predatorprey model with BeddingtonDeAngelis function response and homogeneous Nemman boundary condition is discussed. Some sufficient conditions to guarantee the global stability of the nontrivial constant stationary solutions are given.

Key words: reactiondiffusion predatorprey model; BeddingtonDeAngel is function; global asymptotical stability