Patterns and localized structures in population dynamics.

M G Clerc; D Escaff; V M Kenkre

doi:10.1103/physreve.72.056217

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Patterns and localized structures in population dynamics.

M G Clerc·D Escaff·V M Kenkre

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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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Biophysics Fourier Analysis Models, Statistical Models, Theoretical Oscillometry Population Dynamics Software Journal Article Research Support, N.I.H., Extramural Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

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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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