Fixation in a cyclic Lotka-Volterra model
Statistical Mechanics
2007-05-23 v1 q-bio
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.
Cite
@article{arxiv.cond-mat/9801026,
title = {Fixation in a cyclic Lotka-Volterra model},
author = {L. Frachebourg and P. L. Krapivsky},
journal= {arXiv preprint arXiv:cond-mat/9801026},
year = {2007}
}
Comments
4 pages, 2 figures