Cyclical interactions with alliance-specific heterogeneous invasion rates
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0612316,
title = {Cyclical interactions with alliance-specific heterogeneous invasion rates},
author = {Matjaz Perc and Attila Szolnoki and Gyorgy Szabo},
journal= {arXiv preprint arXiv:cond-mat/0612316},
year = {2015}
}
Comments
4 pages, 4 figures