A finite population destroys a traveling wave in spatial replicator dynamics

نویسندگان

چکیده

We derive both the finite and infinite population spatial replicator dynamics as fluid limit of a stochastic cellular automaton. The is identical to model used by Vickers our derivation justifies addition diffusion replicator. form generalizes results Durett Levin on games. study differences in two equations they pertain one-dimensional rock-paper-scissors game.

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ژورنال

عنوان ژورنال: Chaos Solitons & Fractals

سال: 2021

ISSN: ['1873-2887', '0960-0779']

DOI: https://doi.org/10.1016/j.chaos.2021.110847