Fixation in a cyclic Lotka - Volterra model
Open Access
- 17 April 1998
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 31 (15) , L287-L293
- https://doi.org/10.1088/0305-4470/31/15/001
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 above which the system fixates is determined analytically. We find in dimensions d = 1,2,3, in remarkably good agreement with simulation results in two dimensions.Keywords
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