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arXiv · 0801.2855

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

Gyorgy Szabo·Attila Szolnoki
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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.

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Gyorgy Szabo, Attila Szolnoki. 2008-01-18. Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species. https://doi.org/10.1103/physreve.77.011906

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