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