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Species clustering in competitive Lotka-Volterra models

AuthorsPigolotti, Simone; López, Cristóbal ; Hernández-García, Emilio
Lotka-Volterra models
Issue Date18-Jun-2007
PublisherAmerican Physical Society
CitationPhysical Review Letters 98, 258101 (2007)
AbstractWe study the properties of general Lotka-Volterra models with competitive interactions. The intensity of the competition depends on the position of species in an abstract niche space through an interaction 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 interactions, including stretched exponential and constant kernels.
DescriptionPACS numbers: 87.23.Cc, 45.70.Qj, 87.23.-n.-- ArXiv pre-print: http://arxiv.org/abs/q-bio/0702035.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.98.258101
Appears in Collections:(IFISC) Artículos
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