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

Abstract

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.

4 pages, 4 figures

References in corpus (3)

• Evolutionary games on graphs
• Similarity based cooperation and spatial segregation
• Segregation process and phase transition in cyclic predator-prey models with even number of species

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