A new coexistence result for competing contact processes
Probability
2007-05-23 v1
Abstract
Neuhauser [Probab. Theory Related Fields 91 (1992) 467--506] considered the two-type contact process and showed that on coexistence is not possible if the death rates are equal and the particles use the same dispersal neighborhood. Here, we show that it is possible for a species with a long-, but finite, range dispersal kernel to coexist with a superior competitor with nearest-neighbor dispersal in a model that includes deaths of blocks due to ``forest fires.''
Cite
@article{arxiv.math/0610179,
title = {A new coexistence result for competing contact processes},
author = {Benjamin Chan and Richard Durrett},
journal= {arXiv preprint arXiv:math/0610179},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/105051606000000132 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)