A note on the replicator equation with explicit space and global regulation

Alexander S. Bratus'; Vladimir P. Posvyanskii; Artem S. Novozhilov

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arXiv · 1006.2452

A note on the replicator equation with explicit space and global regulation

Alexander S. Bratus'·Vladimir P. Posvyanskii·Artem S. Novozhilov

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Abstract

A replicator equation with explicit space and global regulation is considered. This model provides a natural framework to follow frequencies of species that are distributed in the space. For this model, analogues to classical notions of the Nash equilibrium and evolutionary stable strategy are provided. A sufficient condition for a uniform stationary state to be a spatially distributed evolutionary stable state is presented and illustrated with examples.

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Alexander S. Bratus', Vladimir P. Posvyanskii, Artem S. Novozhilov. 2011-01-03. A note on the replicator equation with explicit space and global regulation. https://arxiv.org/abs/1006.2452

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