On spread of phage infection of bacteria in a petri dish

Donald Jones; Hal Smith; Horst Thieme; Gergely Röst

doi:10.1137/110848360

On spread of phage infection of bacteria in a petri dish

Donald Jones, Hal Smith, Horst Thieme, Gergely Röst

Research output: Contribution to journal › Article › peer-review

12 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 language	English (US)
Pages (from-to)	670-688
Number of pages	19
Journal	SIAM Journal on Applied Mathematics
Volume	72
Issue number	2
DOIs	https://doi.org/10.1137/110848360
State	Published - 2012

Keywords

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

ASJC Scopus subject areas

Applied Mathematics

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10.1137/110848360

Cite this

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title = "On spread of phage infection of bacteria in a petri dish",

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.",

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AU - Thieme, Horst

AU - Röst, Gergely

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AB - 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.

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KW - Speed of spread

KW - Traveling wave solution

KW - Virus plaque

KW - Virus spread

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On spread of phage infection of bacteria in a petri dish

Abstract

Keywords

ASJC Scopus subject areas

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