Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Boundary Value Problems 2011, 2011:404696 doi:10.1155/2011/404696Published: 27 February 2011
This paper deals with a predator-prey model with Beddington-DeAngelis functional response under homogeneous Neumann boundary conditions. We mainly discuss the following three problems: (1) stability of the nonnegative constant steady states for the reaction-diffusion system; (2) the existence of Turing patterns; (3) the existence of stationary patterns created by cross-diffusion.