Coexistence in stochastic spatial models
Durrett, Rick
Ann. Appl. Probab., Tome 19 (2009) no. 1, p. 477-496 / Harvested from Project Euclid
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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.
Publié le : 2009-04-15
Classification:  Interacting particle system,  block construction,  fast stirring limit,  competitive exclusion principle,  60K35 
@article{1241702238,
     author = {Durrett, Rick},
     title = {Coexistence in stochastic spatial models},
     journal = {Ann. Appl. Probab.},
     volume = {19},
     number = {1},
     year = {2009},
     pages = { 477-496},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1241702238}
}

Durrett, Rick. Coexistence in stochastic spatial models. Ann. Appl. Probab., Tome 19 (2009) no. 1, pp.  477-496. http://gdmltest.u-ga.fr/item/1241702238/