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August 2006 A new coexistence result for competing contact processes
Benjamin Chan, Richard Durrett
Ann. Appl. Probab. 16(3): 1155-1165 (August 2006). DOI: 10.1214/105051606000000132

Abstract

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.”

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Benjamin Chan. Richard Durrett. "A new coexistence result for competing contact processes." Ann. Appl. Probab. 16 (3) 1155 - 1165, August 2006. https://doi.org/10.1214/105051606000000132

Information

Published: August 2006
First available in Project Euclid: 2 October 2006

zbMATH: 1110.60089
MathSciNet: MR2260060
Digital Object Identifier: 10.1214/105051606000000132

Subjects:
Primary: 60K35

Keywords: block construction , Coexistence , competition model , Interacting particle system

Rights: Copyright © 2006 Institute of Mathematical Statistics

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Vol.16 • No. 3 • August 2006
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