Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146231Cyclic predator-prey models with four or six species are studied on a square lattice when the invasion rates are varied. It is found that the cyclic invasions maintain a self-organizing pattern as long as the deviation of the invasion rate(s) from a uniform value does not exceed a threshold value. For larger deviations the system exhibits a continuous phase transition into a frozen distribution of odd (or even) label species.4 pages, 4 figuresPopulations and EvolutionBiological PhysicsPhase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six speciestext