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

Published online by Cambridge University Press:  12 July 2007

Rui Peng  and
Mingxin Wang
Rui Peng
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210018, People's Republic of China
Mingxin Wang
Affiliation:
Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, People's Republic of China and Department of Mathematics, Southeast University, Nanjing 210018, People's Republic of China (mxwang@seu.edu.cn)
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Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 1 , February 2005 , pp. 149 - 164
Copyright
Copyright © Royal Society of Edinburgh 2005

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