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


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2011/1/404696


Received:13 October 2010
Accepted:30 January 2011
Published:27 February 2011

© 2011 Lina Zhang and Shengmao Fu.

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.

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.

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