Coexistence Steady States in a Predator-Prey Model

Details Coexistence Steady States in a Predator-Prey Model Coexistence Steady States in a Predator-Prey Model

2010-02-09

arxiv.org/abs/1002.1786v1

Mathematics

Analysis of PDEs

Scientific paper

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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