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February 1997 Coexistence results for some competition models
Rick Durrett, Claudia Neuhauser
Ann. Appl. Probab. 7(1): 10-45 (February 1997). DOI: 10.1214/aoap/1034625251


Barley yellow dwarf is a widespread disease that affects small grains and many grass species, as well as wheat, barley and oat. The disease is caused by an aphid transmitted virus. Rochow conducted a study near Ithaca, New York, which showed that a shift in the dominant strain occurred between 1957 and 1976. Motivated by this phenomenon, we develop a model for the competition between different strains of the barley yellow dwarf virus. Our main goal is to understand the phase diagram of the model, that is, to identify parameter values where one strain competitively excludes the other strain and where both strains coexist. Our analysis applies to a number of other systems as well, for example to a model of competition of water flea species studied by Hanski and Ranta and Bengtsson.


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Rick Durrett. Claudia Neuhauser. "Coexistence results for some competition models." Ann. Appl. Probab. 7 (1) 10 - 45, February 1997.


Published: February 1997
First available in Project Euclid: 14 October 2002

zbMATH: 0873.92020
MathSciNet: MR1428748
Digital Object Identifier: 10.1214/aoap/1034625251

Primary: 60K35
Secondary: 92B05

Keywords: barley yellow dwarf , Coexistence , competitive exclusion , contact process , Daphnia , interacting particle systems , rescaling , successional model

Rights: Copyright © 1997 Institute of Mathematical Statistics


Vol.7 • No. 1 • February 1997
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