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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/6067
Title: Species clustering in competitive Lotka-Volterra models
Authors: Pigolotti, Simone; López, Cristóbal; Hernández-García, Emilio
Keywords: Competition
Lotka-Volterra models
Issue Date: 18-Jun-2007
Publisher: American Physical Society
Citation: Physical Review Letters 98, 258101 (2007)
Abstract: We 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.
Description: PACS 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
URI: http://hdl.handle.net/10261/6067
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.98.258101
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