| 摘要 (Abstract) |
In an evolving ecosystem, the competition between multiple species can rarely be strictly hierarchical. In fact, the cyclicity has an important contribution to the establishment of a dynamic equilibrium. But in well-mixed systems, cyclicity alone is proven to be ineffective in preserving biodiversity, which generally collapses in a time scale linear to the system size. Nonetheless, adding spatial distribution provides a significant boost to its effectiveness, prolonging the size-dependence of extinction time to an exponential. The long-living dynamic of the system is accompanied by a proliferation of interesting dynamic patterns and local breathing modes. We will begin with a review on some physicist's approaches to evolutionary dynamics and attempt to understand the scaling behaviors of the cyclic competing system through a phenomenological view in the context of non-equilibrium, absorbing-state phase transition.
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