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

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

2008-01-18

arxiv.org/abs/0801.2855v1

Phys. Rev. E 77 (2008) 011906

Biology

Quantitative Biology

Populations and Evolution

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.77.011906

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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