On spread of phage infection of bacteria in a petri dish

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

A reaction diffusion system with time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. The delay explicitly accounts for a virus latent period of fixed duration. An interval of possible spreading speeds for virus infection is established, and traveling wave solutions are shown to exist. Linear determinacy of spreading speed breaks down for some parameter values.

Original languageEnglish (US)
Pages (from-to)670-688
Number of pages19
JournalSIAM Journal on Applied Mathematics
Volume72
Issue number2
DOIs
StatePublished - Jun 4 2012

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

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