Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in http://static-content.springer.com/image/art%3A10.1155%2F2009%2F654539/MediaObjects/13661_2009_Article_869_IEq1_HTML.gif

  • Rui Zhang1, 2,

    Affiliated with

    • Ling Guo1 and

      Affiliated with

      • Shengmao Fu1Email author

        Affiliated with

        Boundary Value Problems20092009:654539

        DOI: 10.1155/2009/654539

        Received: 2 April 2009

        Accepted: 31 August 2009

        Published: 8 December 2009

        Abstract

        A Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions to the model are dicussed. In addition, global asymptotic stability of the positive equilibrium point for the model is proved by Lyapunov function.

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        Authors’ Affiliations

        (1)
        Department of Mathematics, Northwest Normal University
        (2)
        Department of Mathematics, Lanzhou Jiaotong University

        Copyright

        © Rui Zhang et al. 2009

        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.