A new coexistence result for competing contact processes

dc.creatorChan, Benjamin
dc.creatorDurrett, Richard
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:28:44Z
dc.date.available2026-07-07T07:28:44Z
dc.descriptionNeuhauser [Probab. Theory Related Fields 91 (1992) 467--506] considered the two-type contact process and showed that on $\mathbb{Z}^2$ 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.''
dc.descriptionPublished 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)
dc.identifierhttps://arxiv.org/abs/math/0610179
dc.identifierhttp://arxiv.org/abs/math/0610179
dc.identifierAnnals of Applied Probability 2006, Vol. 16, No. 3, 1155-1165
dc.identifierdoi:10.1214/105051606000000132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117845
dc.subjectProbability
dc.subject60K35 (Primary)
dc.titleA new coexistence result for competing contact processes
dc.typetext

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