Journal of the Korean Physical Society

Korean Physical Society (한국물리학회)
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Criticality in Two Competing Species with Allelopathy Based on Cellular Automaton Model

Lee, S.H.;Pak, H.K.;Chon, T.S.;Matsumoto, T.

  • Published : 2004.03.15
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Abstract

A cellular automaton model is used to analyze the critical behavior of two competing species in a finite space. We assume that one species produces a toxic substance affecting the other species. Therefore, the growth of each species depends on the existence of nutrients and toxicants. We demonstrate the existence of a phase transition from the state of locally isolated clusters to the state of infinitely spanning clusters under various initial conditions. In the critical regions, the cluster-size distribution shows a power-law behavior.

Keywords

References

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