A new coexistence result for competing contact processes

Abstract

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.''

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)

Cited by in corpus (3)

• Coexistence in stochastic spatial models
• Survival and coexistence for a multitype contact process
• Coexistence for a multitype contact process with seasons