A new coexistence result for competing contact processes

Details A new coexistence result for competing contact processes A new coexistence result for competing contact processes

2006-10-05

arxiv.org/abs/math/0610179v1

Annals of Applied Probability 2006, Vol. 16, No. 3, 1155-1165

Mathematics

Probability

Published at http://dx.doi.org/10.1214/105051606000000132 in the Annals of Applied Probability (http://www.imstat.org/aap/) by

Scientific paper

10.1214/105051606000000132

Neuhauser [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.''

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