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Persistence in reaction diffusion models with weak allee effect. (English) Zbl 1110.92055
Summary: We study the positive steady state distributions and dynamical behavior of reaction-diffusion equations with weak Allee effect type growth, in which the growth rate per capita is not monotonic as in the logistic type, and the habitat is assumed to be a heterogeneous bounded region. The existence of multiple steady states is shown, and the global bifurcation diagrams are obtained. Results are applied to a reaction-diffusion model with type II functional response, and also to a model with density-dependent diffusion of animal aggregation.
MSC:
92D40Ecology
35K57Reaction-diffusion equations
92D25Population dynamics (general)
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