Patterns and localized structures in population dynamics

M. G. Clerc*, D. Escaff, V. M. Kenkre

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

89 Scopus citations


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.

Original languageEnglish
Article number056217
JournalPhysical Review E
Issue number5
StatePublished - Nov 2005
Externally publishedYes

Bibliographical note

© 2005 The American Physical Society.


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