Research Article Details
| Article ID: | A35128 |
| PMID: | 21675802 |
| Source: | Math Biosci Eng |
| Title: | A note on the replicator equation with explicit space and global regulation. |
| 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 state are provided. A sufficient condition for a uniform stationary state to be a spatially distributed evolutionary stable state is presented and illustrated with examples. |
| DOI: | 10.3934/mbe.2011.8.659 |
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