Journal
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 52, Issue 6, Pages 807-829Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-006-0373-7
Keywords
population biology; reaction-diffusion equation; Allee effect; global bifurcation
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We study the positive steady state distributions and dynamical behavior of reaction-diffusion equation with weak Allee effect type growth, in which the growth rate per capita is not monotonic as in 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 a model with density-dependent diffusion of animal aggregation.
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