Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species.
Cyclic 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.
Szabó
György
G
Research Institute for Technical Physics and Materials Science, P. O. Box 49, H-1525 Budapest, Hungary.
Szolnoki
Attila
A
D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D006801:Humans; D007700:Kinetics; D008954:Models, Biological; D015233:Models, Statistical; D044367:Phase Transition; D011157:Population Dynamics; D011235:Predatory Behavior / Q000502:physiology*