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Título : Species clustering in competitive Lotka-Volterra models
Autor : Pigolotti, Simone, López, Cristóbal, Hernández-García, Emilio
Palabras clave : Competition
Lotka-Volterra models
Fecha de publicación : 18-Jun-2007
Editor: American Physical Society
Resumen: 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.
Descripción : PACS numbers: 87.23.Cc, 45.70.Qj, 87.23.-n.-- ArXiv pre-print:
Versión del editor:
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.98.258101
Citación : Physical Review Letters 98, 258101 (2007)
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