Coexistence results for some competition models

Rick Durrett, Claudia Neuhauser

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)10-45
Number of pages36
JournalAnnals of Applied Probability
Issue number1
StatePublished - Feb 1997


  • Barley yellow dwarf
  • Coexistence
  • Competitive exclusion
  • Contact process
  • Daphnia
  • Interacting particle systems
  • Rescaling
  • Successional model


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