Journal
MATHEMATICAL BIOSCIENCES
Volume 212, Issue 2, Pages 149-160Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2007.08.008
Keywords
prey predator model; stage structure; diffusion; stability; Hopf bifurcation
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In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann boundary conditions; (2) Hopf bifurcation for the ODE system; (3) Hopf bifurcation created by diffusion. (c) 2008 Published by Elsevier Inc.
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