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arxiv: 1002.1786 · v1 · submitted 2010-02-09 · 🧮 math.AP

Coexistence Steady States in a Predator-Prey Model

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keywords steadycoexistencefertilitypredator-preypreystatesage-structuredbifurcates
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An age-structured predator-prey system with diffusion and Holling-Tanner-type nonlinearities is considered. Regarding the intensity of the fertility of the predator as bifurcation parameter, we prove that a branch of positive coexistence steady states bifurcates from the marginal steady state with no prey. A similar result is obtained when the fertility of the prey varies.

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