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

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

2010-06-12

arxiv.org/abs/1006.2452v2

Biology

Quantitative Biology

Populations and Evolution

23 pages, 5 figures, this is the version that was accepted for publication

Scientific paper

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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