Bacteriophage and Bacteria in a Flow Reactor

Donald Jones, Hal Smith

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

The Levin-Stewart model of bacteriophage predation of bacteria in a chemostat is modified for a flow reactor in which bacteria are motile, phage diffuse, and advection brings fresh nutrient and removes medium, cells and phage. A fixed latent period for phage results in a system of delayed reaction-diffusion equations with non-local nonlinearities. Basic reproductive numbers are obtained for bacteria and for phage which predict survival of each in the bio-reactor. These are expressed in terms of physical and biological parameters. Persistence and extinction results are obtained for both bacteria and phage. Numerical simulations are in general agreement with those for the chemostat model.

Original languageEnglish (US)
Pages (from-to)2357-2383
Number of pages27
JournalBulletin of mathematical biology
Volume73
Issue number10
DOIs
StatePublished - Oct 1 2011

Keywords

  • Bacteriophage
  • Persistence

ASJC Scopus subject areas

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

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