Fixation in a cyclic Lotka-Volterra model
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 Nc(d) above which the system fixates is determined analytically. We find Nc=5,14,23 in dimensions d=1,2,3, in remarkably good agreement with simulation results in two dimensions.
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