Coexistence Steady States in a Predator-Prey Model

Christoph Walker

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arXiv · 1002.1786

Coexistence Steady States in a Predator-Prey Model

Christoph Walker

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Abstract

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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Christoph Walker. 2010-02-09. Coexistence Steady States in a Predator-Prey Model. https://arxiv.org/abs/1002.1786

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