Diverging fluctuations in a spatial five-species cyclic dominance game
Abstract
A five-species predator-prey model is studied on a square lattice where each species has two prey and two predators on the analogy to the Rock-Paper-Scissors-Lizard-Spock game. The evolution of the spatial distribution of species is governed by site exchange and invasion between the neighboring predator-prey pairs, where the cyclic symmetry can be characterized by two different invasion rates. The mean-field analysis has indicated periodic oscillations in the species densities with a frequency becoming zero for a specific ratio of invasion rates. When varying the ratio of invasion rates, the appearance of this zero-eigenvalue mode is accompanied by neutrality between the species associations. Monte Carlo simulations of the spatial system reveal diverging fluctuations at a specific invasion rate, which can be related to the vanishing dominance between all pairs of species associations.
Cite
@article{arxiv.1308.0964,
title = {Diverging fluctuations in a spatial five-species cyclic dominance game},
author = {Jeromos Vukov and Attila Szolnoki and György Szabó},
journal= {arXiv preprint arXiv:1308.0964},
year = {2013}
}
Comments
accepted for publication in Physical Review E