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Competing Species Dynamics: Qualitative Advantage versus Geography

arXiv:cond-mat/9812361 · doi:10.1007/s100510050410

Abstract

A simple cellular automata model for a two-group war over the same territory is presented. It is shown that a qualitative advantage is not enough for a minority to win. A spatial organization as well a definite degree of aggressiveness are instrumental to overcome a less fitted majority. The model applies to a large spectrum of competing groups: smoker-non smoker war, epidemic spreading, opinion formation, competition for industrial standards and species evolution. In the last case, it provides a new explanation for punctuated equilibria.

7 pages, latex, 2 figures included