Fixation in a cyclic Lotka-Volterra model

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We study a cyclic Lotka-Volterra model of N interacting species populating a d-dimensional lattice. In the realm of a Kirkwood approximation, a critical number of species N_c(d) above which the system fixates is determined analytically. We find N_c=5,14,23 in dimensions d=1,2,3, in remarkably good agreement with simulation results in two dimensions.
4 pages, 2 figures

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Statistical Mechanics, Quantitative Biology

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http://salesiana.dossiersoluciones.com/handle/123456789/27998

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9801026
 http://arxiv.org/abs/cond-mat/9801026

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arXiv