A note on the replicator equation with explicit space and global regulation
Populations and Evolution
2011-01-04 v2 Analysis of PDEs
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.
Cite
@article{arxiv.1006.2452,
title = {A note on the replicator equation with explicit space and global regulation},
author = {Alexander S. Bratus' and Vladimir P. Posvyanskii and Artem S. Novozhilov},
journal= {arXiv preprint arXiv:1006.2452},
year = {2011}
}
Comments
23 pages, 5 figures, this is the version that was accepted for publication