Spread of viral infection of immobilized bacteria

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A reaction diffusion system with a distributed time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. A distributed delay explicitly accounts for a virus latent period of variable duration. The model allows the number of virus progeny released when an infected cell lyses to depend on the duration of the latent period. A unique spreading speed for virus infection is established and traveling wave solutions are shown to exist. c American Institute of Mathematical Sciences.

Original languageEnglish (US)
Pages (from-to)327-342
Number of pages16
JournalNetworks and Heterogeneous Media
Volume8
Issue number1
DOIs
StatePublished - 2013

Fingerprint

Viruses
Bacteria
Virus
Infection
Spreading Speed
Distributed Time Delay
Distributed Delay
Traveling Wave Solutions
Reaction-diffusion System
Time delay
Cell
Model

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Engineering(all)
  • Computer Science Applications

Cite this

Spread of viral infection of immobilized bacteria. / Jones, Donald; Smith, Hal; Thieme, Horst.

In: Networks and Heterogeneous Media, Vol. 8, No. 1, 2013, p. 327-342.

Research output: Contribution to journalArticle

@article{93c3d17529394df5b20c1eed189c9185,
title = "Spread of viral infection of immobilized bacteria",
abstract = "A reaction diffusion system with a distributed time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. A distributed delay explicitly accounts for a virus latent period of variable duration. The model allows the number of virus progeny released when an infected cell lyses to depend on the duration of the latent period. A unique spreading speed for virus infection is established and traveling wave solutions are shown to exist. c American Institute of Mathematical Sciences.",
keywords = "Distributed delay., Linear determinacy, Speed of spread, Traveling wave solution, Virus plaque, Virus spread",
author = "Donald Jones and Hal Smith and Horst Thieme",
year = "2013",
doi = "10.3934/nhm.2013.8.327",
language = "English (US)",
volume = "8",
pages = "327--342",
journal = "Networks and Heterogeneous Media",
issn = "1556-1801",
publisher = "American Institute of Mathematical Sciences",
number = "1",

}

TY - JOUR

T1 - Spread of viral infection of immobilized bacteria

AU - Jones, Donald

AU - Smith, Hal

AU - Thieme, Horst

PY - 2013

Y1 - 2013

N2 - A reaction diffusion system with a distributed time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. A distributed delay explicitly accounts for a virus latent period of variable duration. The model allows the number of virus progeny released when an infected cell lyses to depend on the duration of the latent period. A unique spreading speed for virus infection is established and traveling wave solutions are shown to exist. c American Institute of Mathematical Sciences.

AB - A reaction diffusion system with a distributed time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. A distributed delay explicitly accounts for a virus latent period of variable duration. The model allows the number of virus progeny released when an infected cell lyses to depend on the duration of the latent period. A unique spreading speed for virus infection is established and traveling wave solutions are shown to exist. c American Institute of Mathematical Sciences.

KW - Distributed delay.

KW - Linear determinacy

KW - Speed of spread

KW - Traveling wave solution

KW - Virus plaque

KW - Virus spread

UR - http://www.scopus.com/inward/record.url?scp=84877318997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84877318997&partnerID=8YFLogxK

U2 - 10.3934/nhm.2013.8.327

DO - 10.3934/nhm.2013.8.327

M3 - Article

AN - SCOPUS:84877318997

VL - 8

SP - 327

EP - 342

JO - Networks and Heterogeneous Media

JF - Networks and Heterogeneous Media

SN - 1556-1801

IS - 1

ER -