Positive steady states of the Holling–Tanner prey–predator model with diffusion

This paper is concerned with the Holling–Tanner prey–predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states.

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Bibliographic Details
Published inProceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 135; no. 1; pp. 149 - 164
Main Authors Peng, Rui, Wang, Mingxin
Format Journal Article
LanguageEnglish
Published Edinburgh, UK Royal Society of Edinburgh Scotland Foundation 01.02.2005
Cambridge University Press
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Summary:This paper is concerned with the Holling–Tanner prey–predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states.
Bibliography:ArticleID:00381
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PII:S0308210500003814
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ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210500003814