Open Access

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

Boundary Value Problems20112011:404696

Received: 13 October 2010

Accepted: 30 January 2011

Published: 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.


Boundary ConditionDifferential EquationSteady StatePartial Differential EquationOrdinary Differential Equation

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Authors’ Affiliations

Department of Mathematics, Northwest Normal University, Lanzhou, China


© L. Zhang and S. Fu. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.