Allelopathy in spatially distributed populations

Rick Durrett, Simon Asher Levin

Research output: Contribution to journalArticle

195 Scopus citations

Abstract

In a homogeneously mixing population of E. coli, colicin-producing and colicin-sensitive strategies both may be evolutionarily stable for certain parameter ranges, with the outcome of competition determined by initial conditions. In contrast, in a spatially-structured population, there is a unique ESS for any given set of parameters; the outcome is determined by how effective allelopathy is in relation to its costs. Furthermore, in a spatially-structured environment, a dynamic equilibrium may be sustained among a colicin-sensitive type, a high colicin-producing type, and a 'cheater' that expends less on colicin production but is resistant.

Original languageEnglish (US)
Pages (from-to)165-171
Number of pages7
JournalJournal of Theoretical Biology
Volume185
Issue number2
DOIs
StatePublished - Mar 21 1997

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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