Abstract
An age-structured predator–prey system with diffusion and Holling–Tanner-type nonlinearities is investigated. 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 predator. A similar result is shown when the fertility of the prey varies.
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Walker, C. Coexistence steady states in a predator–prey model. Arch. Math. 95, 87–99 (2010). https://doi.org/10.1007/s00013-010-0133-1
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DOI: https://doi.org/10.1007/s00013-010-0133-1