Bacteriophage-resistant and bacteriophage-sensitive bacteria in a chemostat

Zhun Han; Hal L. Smith

doi:10.3934/mbe.2012.9.737

Article Contents

2012, Volume 9, Issue 4: 737-765. Doi: 10.3934/mbe.2012.9.737

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Bacteriophage-resistant and bacteriophage-sensitive bacteria in a chemostat

Zhun Han^1, and
Hal L. Smith^2,

1.
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287
2.
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287-1804

Received: November 30, 2011

Revised: May 31, 2012

Published: September 2012

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Abstract

In this paper a mathematical model of the population dynamics of a bacteriophage-sensitive and a bacteriophage-resistant bacteria in a chemostat where the resistant bacteria is an inferior competitor for nutrient is studied. The focus of the study is on persistence and extinction of bacterial strains and bacteriophage.

Keywords:

Mathematics Subject Classification: Primary: 92D25; Secondary: 34K60.

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