%0 Journal Article
%T Cyclical interactions with alliance-specific heterogeneous invasion rates
%A Matjaz Perc
%A Attila Szolnoki
%A Gyorgy Szabo
%J Quantitative Biology
%D 2006
%I arXiv
%R 10.1103/PhysRevE.75.052102
%X We study a six-species Lotka-Volterra type system on different two-dimensional lattices when each species has two superior and two inferior partners. The invasion rates from predator sites to a randomly chosen neighboring prey's site depend on the predator-prey pair, whereby cyclic symmetries within the two three-species defensive alliances are conserved. Monte Carlo simulations reveal an unexpected non-monotonous dependence of alliance survival on the difference of alliance-specific invasion rates. This behavior is qualitatively reproduced by a four-point mean-field approximation. The study addresses fundamental problems of stability for the competition of two defensive alliances and thus has important implications in natural and social sciences.
%U http://arxiv.org/abs/cond-mat/0612316v2