Basins of attraction for species extinction and coexistence in spatial rock-paper-scissors games

作者：Hongjing Shi, Wen-Xu Wang, Rui Yang, Ying‐Cheng Lai · 发表于：Physical Review E · 年份：2010 · DOI：10.1103/physreve.81.030901 · 被引用次数：72 · 研究领域：Evolutionary Game Theory and Cooperation、Mathematical and Theoretical Epidemiology and Ecology Models、Evolution and Genetic Dynamics

We study the collective dynamics of mobile species under cyclic competition by breaking the symmetry in the initial populations and examining the basins of the two distinct asymptotic states: extinction and coexistence, the latter maintaining biodiversity. We find a rich dependence of dynamical properties on initial conditions. In particular, for high mobility, only extinction basins exist and they are spirally entangled, but a basin of coexistence emerges when the mobility parameter is decreased through a critical value, whose area increases monotonically as the parameter is further decreased. The structure of extinction basins for high mobility can be predicted by a mean-field theory. These results provide a more comprehensive picture for the fundamental issue of species coexistence than previously achieved.