Non-local Interaction Effects on Pattern Formation in Population Dynamics

Details Non-local Interaction Effects on Pattern Formation in Population Dynamics Non-local Interaction Effects on Pattern Formation in Population Dynamics

2003-02-18

arxiv.org/abs/nlin/0302043v1

Nonlinear Sciences

Pattern Formation and Solitons

4 Pages, 6 Figures included

Scientific paper

10.1103/PhysRevLett.91.158104

We consider a model for population dynamics such as for the evolution of bacterial colonies which is of the Fisher type but where the competitive interaction among individuals is non-local, and show that spatial structures with interesting features emerge. These features depend on the nature of the competitive interaction as well as on its range, specifically on the presence or absence of tails in, and the central curvature of, the influence function of the interaction.

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