The Annals of Applied Probability

A new coexistence result for competing contact processes

Benjamin Chan and Richard Durrett

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Neuhauser [Probab. Theory Related Fields 91 (1992) 467–506] considered the two-type contact process and showed that on ℤ2 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.”

Article information

Ann. Appl. Probab., Volume 16, Number 3 (2006), 1155-1165.

First available in Project Euclid: 2 October 2006

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Zentralblatt MATH identifier

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Coexistence competition model block construction interacting particle system


Chan, Benjamin; Durrett, Richard. A new coexistence result for competing contact processes. Ann. Appl. Probab. 16 (2006), no. 3, 1155--1165. doi:10.1214/105051606000000132.

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