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

  • Lina Zhang1 and

    Affiliated with

    • Shengmao Fu1Email author

      Affiliated with

      Boundary Value Problems20112011:404696

      DOI: 10.1155/2011/404696

      Received: 13 October 2010

      Accepted: 30 January 2011

      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.

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      Authors’ Affiliations

      (1)
      Department of Mathematics, Northwest Normal University

      Copyright

      © 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.