Species clustering in competitive Lotka-Volterra models

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dc.creatorPigolotti, Simone
dc.creatorLopez, Cristobal
dc.creatorHernandez-Garcia, Emilio
dc.date2007-02-16
dc.date.accessioned2026-07-07T09:38:54Z
dc.date.available2026-07-07T09:38:54Z
dc.descriptionWe study the properties of Lotka-Volterra competitive models in which the intensity of the interaction among species depends on their position along an abstract niche space through a competition kernel. We show analytically and numerically that the properties of these models change dramatically when the Fourier transform of this kernel is not positive definite, due to a pattern forming instability. We estimate properties of the species distributions, such as the steady number of species and their spacings, for different types of kernels.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/q-bio/0702035
dc.identifierhttp://arxiv.org/abs/q-bio/0702035
dc.identifierPhys. Rev. Lett. 98, 258101 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.258101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160983
dc.subjectPopulations and Evolution
dc.subjectPattern Formation and Solitons
dc.titleSpecies clustering in competitive Lotka-Volterra models
dc.typetext

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