Patterns and localized structures in population dynamics

Patterns, fronts, and localized structures of a prototypical model for population dynamics interaction are studied. The physical content of the model is the coexistence of a simple random walk for the motion of the individuals with a nonlinearity in the competitive struggle for resources which simul...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-11, Vol.72 (5 Pt 2), p.056217-056217, Article 056217
Main Authors: Clerc, M G, Escaff, D, Kenkre, V M
Format: Article
Language:English
Subjects:
Biophysics - methods
Fourier Analysis
Models, Statistical
Models, Theoretical
Oscillometry
Population Dynamics
Software
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Summary:Patterns, fronts, and localized structures of a prototypical model for population dynamics interaction are studied. The physical content of the model is the coexistence of a simple random walk for the motion of the individuals with a nonlinearity in the competitive struggle for resources which simultaneously stresses the Allee effect and interaction at a distance. Mathematically, the model is variational and exhibits coexistence between different stable extended states. Solutions are obtained, the phase diagram is constructed, and the emergence of localized structures is investigated.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.72.056217