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Fixation in a cyclic Lotka-Volterra model

L. Frachebourg·P. L. Krapivsky
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Abstract

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.

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BibTeXRIS

L. Frachebourg, P. L. Krapivsky. 1998-01-05. Fixation in a cyclic Lotka-Volterra model. https://arxiv.org/abs/cond-mat/9801026

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