Spread of phage infection of bacteria in a petri dish

Donald Jones, Hal Smith, Horst Thieme

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We extend our previous work on the spatial spread of phage infection of immobile bacteria on an agar coated plate by explicitly including loss of viruses by both adsorption to bacteria and by decay of free viruses and by including a distributed virus latent period and distributed burst size rather than fixed values of these key parameters. We extend earlier results on the spread of virus and on the existence of traveling wave solutions when the basic reproductive number for virus, R0, exceeds one and we compare the results with those obtained in earlier work. Finally, we formulate and analyze a model of multiple virus strains competing to infect a common bacterial host in a petri dish.

Original languageEnglish (US)
Pages (from-to)471-496
Number of pages26
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume21
Issue number2
DOIs
StatePublished - Mar 1 2016

Keywords

  • Distributed delay
  • Linear determinacy
  • Speed of spread
  • Traveling wave solution
  • Virus plaque
  • Virus spread

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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