Coexistence in stochastic spatial models
Probability
2009-06-15 v1 Populations and Evolution
Abstract
In this paper I will review twenty years of work on the question: When is there coexistence in stochastic spatial models? The answer, announced in Durrett and Levin [Theor. Pop. Biol. 46 (1994) 363--394], and that we explain in this paper is that this can be determined by examining the mean-field ODE. There are a number of rigorous results in support of this picture, but we will state nine challenging and important open problems, most of which date from the 1990's.
Cite
@article{arxiv.0906.2293,
title = {Coexistence in stochastic spatial models},
author = {Rick Durrett},
journal= {arXiv preprint arXiv:0906.2293},
year = {2009}
}
Comments
Published in at http://dx.doi.org/10.1214/08-AAP590 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)