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

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.

preprint2011arXivOpen access
Alexander S. Bratus'Vladimir P. PosvyanskiiArtem S. Novozhilov
math.APPopulations and Evolution
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Alexander S. Bratus'Vladimir P. PosvyanskiiArtem S. Novozhilov

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