Persistence in reaction diffusion models with weak allee effect.

Junping Shi; Ratnasingham Shivaji

doi:10.1007/s00285-006-0373-7

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Persistence in reaction diffusion models with weak allee effect.

Junping Shi·Ratnasingham Shivaji

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Abstract

We study the positive steady state distributions and dynamical behavior of reaction-diffusion equation with weak allele 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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Animals Environment Models, Biological Models, Statistical Population Density Population Dynamics Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

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Junping Shi, Ratnasingham Shivaji. 2006-03-06. Persistence in reaction diffusion models with weak allee effect.. https://doi.org/10.1007/s00285-006-0373-7

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