A multitype contact process with frozen sites: A spatial model of allelopathy

Research output: Contribution to journalArticle

Abstract

In this paper, we introduce a generalization of the two-color multitype contact process intended to mimic a biological process called allelopathy. To be precise, we have two types of particle. Particles of each type give birth to particles of the same type, and die at rate 1. When a particle of type 1 dies, it gives way to a frozen site that blocks particles of type 2 for an exponentially distributed amount of time. Specifically, we investigate in detail the phase transitions and the duality properties of the interacting particle system.

Original languageEnglish (US)
Pages (from-to)1109-1119
Number of pages11
JournalJournal of Applied Probability
Volume42
Issue number4
DOIs
StatePublished - Dec 1 2005
Externally publishedYes

Keywords

  • Allelopathy
  • Competition model
  • Duality
  • Interacting particle system
  • Multitype contact process
  • Phase transition

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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