Fixation in a cyclic Lotka-Volterra model

Details Fixation in a cyclic Lotka-Volterra model Fixation in a cyclic Lotka-Volterra model

1998-01-05

arxiv.org/abs/cond-mat/9801026v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

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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