Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics

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dc.creatorFuentes, M. A.
dc.creatorKuperman, M. N.
dc.creatorKenkre, V. M.
dc.date2003-11-11
dc.date.accessioned2026-07-07T05:35:05Z
dc.date.available2026-07-07T05:35:05Z
dc.descriptionSimple 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.
dc.description4 pages, 2 figures included
dc.identifierhttps://arxiv.org/abs/nlin/0311017
dc.identifierhttp://arxiv.org/abs/nlin/0311017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80598
dc.subjectPattern Formation and Solitons
dc.titleAnalytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics
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