2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27998We 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.4 pages, 2 figuresStatistical MechanicsQuantitative Biologytext