A strongly coupled predator-prey system with non-monotonic functional response

    Authors

    X. F. Chen; Y. W. Qi;M. X. Wang

    Comments

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    Abbreviated Journal Title

    Nonlinear Anal.-Theory Methods Appl.

    Keywords

    cross-diffusion; predator-prey model; non-constant positive steady; states; CROSS-DIFFUSION; GROUP DEFENSE; MODEL; ENRICHMENT; BEHAVIOR; KINETICS; PARADOX; Mathematics, Applied; Mathematics

    Abstract

    The predator-prey system with non-monotonic functional response is an interesting field of theoretical study. In this paper we consider a strongly coupled partial differential equation model with a non-monotonic functional response-a Holling type-IV function in a bounded domain with no flux boundary condition. We prove a number of existence and non-existence results concerning non-constant steady states (patterns) of the underlying system. In particular, we demonstrate that cross-diffusion can create patterns when the corresponding model without cross-diffusion fails. (C) 2006 Elsevier Ltd. All rights reserved.

    Journal Title

    Nonlinear Analysis-Theory Methods & Applications

    Volume

    67

    Issue/Number

    6

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    1966

    Last Page

    1979

    WOS Identifier

    WOS:000247404600027

    ISSN

    0362-546X

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