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PubMed · 16383737

Patterns and localized structures in population dynamics.

Abstract

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.

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BibTeXRIS

M G Clerc, D Escaff, V M Kenkre. 2005-11-28. Patterns and localized structures in population dynamics.. https://doi.org/10.1103/physreve.72.056217

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