Open Access Research Article

Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response

Lina Zhang and Shengmao Fu*

Author affiliations

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

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Citation and License

Boundary Value Problems 2011, 2011:404696  doi:10.1155/2011/404696

Published: 27 February 2011

Abstract

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.