M. Grabowski et Re. Camley, EMERGENT SPATIAL CORRELATIONS IN STOCHASTICALLY EVOLVING POPULATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 3421-3425
We study the spatial pattern formation and emerging long-range correla
tions in a model of three species coevolving in space and time accordi
ng to stochastic contact rules. Analytical results for the pair correl
ation functions, based on a truncation approximation and supported by
computer simulations, reveal emergent strategies of survival for minor
ity agents based on selection of patterns. Minority agents exhibit def
ensive clustering and cooperative behavior close to phase transitions.