Global asymptotic stability and the ideal free distribution in a starvation driven diffusion

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We study a logistic model with a nonlinear random diffusion in a Fokker-Planck type law, but not in Fick's law. In the model individuals are assumed to increase their motility if they starve. Any directional information to resource is not assumed in this starvation driven diffusion and individuals disperse in a random walk style strategy. However, the non-uniformity in the motility produces an advection toward surplus resource. Several basic properties of the model are obtained including the global asymptotic stability and the acquisition of the ideal free distribution.
Publisher
SPRINGER
Issue Date
2014-05
Language
English
Article Type
Article
Keywords

COMPETITIVE INTERACTION; SPATIAL SEGREGATION; POPULATION-DYNAMICS; CROSS-DIFFUSION; LARGE ADVECTION; DISPERSAL; EVOLUTION; MODEL; ENVIRONMENTS; EQUATIONS

Citation

JOURNAL OF MATHEMATICAL BIOLOGY, v.68, no.6, pp.1341 - 1370

ISSN
0303-6812
DOI
10.1007/s00285-013-0674-6
URI
http://hdl.handle.net/10203/189011
Appears in Collection
MA-Journal Papers(저널논문)
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