In this paper, a diffusive three species predator prey model with two Leslie--Cower terms is considered. The stability of the unique positive constant equilibrium for the reaction- diffusion system is obtained. Suffic...In this paper, a diffusive three species predator prey model with two Leslie--Cower terms is considered. The stability of the unique positive constant equilibrium for the reaction- diffusion system is obtained. Sufficient conditions are derived for the global stability of the positive constant equilibrium. In particular, we establish the existence and nonexistence of non-constant positive steady states of this system. The results indicate that the large diffusivity is helpful for the appearance of the non-constant positive steady states （stationary patterns）.展开更多
文摘In this paper, a diffusive three species predator prey model with two Leslie--Cower terms is considered. The stability of the unique positive constant equilibrium for the reaction- diffusion system is obtained. Sufficient conditions are derived for the global stability of the positive constant equilibrium. In particular, we establish the existence and nonexistence of non-constant positive steady states of this system. The results indicate that the large diffusivity is helpful for the appearance of the non-constant positive steady states （stationary patterns）.
