Electron. J. Diff. Eqns., Vol. 2005(2005), No. 137, pp. 1-16.

Coexistence and stability of solutions for a class of reaction-diffusion systems

Zhenbu Zhang

Abstract:
In this paper we consider the situation of two species of predators competing for one species of prey. We use comparison principles to study the global existence, the existence of non-trivial steady states and their stability.

Submitted March 21, 2005. Published December 1, 2005.
Math Subject Classifications: 35K55, 35K57.
Key Words: Coexistence; stability; reaction-diffusion; eigenvalue problem.

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Zhenbu Zhang
Department of Mathematics
Jackson State University
Jackson, MS 39217, USA
email: zhenbu.zhang@jsums.edu

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