Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics
Pattern Formation and Solitons
2007-05-23 v1
Abstract
Simple analytic considerations are applied to recently discovered patterns in a generalized Fisher equation for population dynamics. The generalization consists of the inclusion of non-local competition interactions among individuals. We first show how stability arguments yield a condition for pattern formation involving the ratio of the pattern wavelength and the effective diffusion length of the individuals. We develop a mode-mode coupling analysis which might be useful in shedding some light on the observed formation of small-amplitude versus large-amplitude patterns.
Cite
@article{arxiv.nlin/0311017,
title = {Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics},
author = {M. A. Fuentes and M. N. Kuperman and V. M. Kenkre},
journal= {arXiv preprint arXiv:nlin/0311017},
year = {2007}
}
Comments
4 pages, 2 figures included