The Annals of Applied Probability

A new coexistence result for competing contact processes

Benjamin Chan and Richard Durrett

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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.”

Article information

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

Dates
First available in Project Euclid: 2 October 2006

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1159804978

Digital Object Identifier
doi:10.1214/105051606000000132

Mathematical Reviews number (MathSciNet)
MR2260060

Zentralblatt MATH identifier
1110.60089

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

Keywords
Coexistence competition model block construction interacting particle system

Citation

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. https://projecteuclid.org/euclid.aoap/1159804978


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References

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The Annals of Applied Probability

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