On spread of phage infection of bacteria in a petri dish

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 - 2012

Fingerprint

Bacteriophages
Viruses
Bacteria
Spreading Speed
Virus
Infection
Determinacy
Traveling Wave Solutions
Reaction-diffusion System
Breakdown
Time Delay
Time delay
Interval

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

On spread of phage infection of bacteria in a petri dish. / Jones, Donald; Smith, Hal; Thieme, Horst; Röst, Gergely.

In: SIAM Journal on Applied Mathematics, Vol. 72, No. 2, 2012, p. 670-688.

Research output: Contribution to journalArticle

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