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
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