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Bacteriophage Infection Dynamics: Multiple Host BindingSites

Published online by Cambridge University Press:  27 November 2009

H. L. Smith  and
R. T. Trevino
H. L. Smith*
Affiliation:
School of Mathematical and Statistical Sciences, Arizona State University, 85287 Tempe, AZ, USA
R. T. Trevino
Affiliation:
School of Mathematical and Statistical Sciences, Arizona State University, 85287 Tempe, AZ, USA
*
halsmith@asu.edu
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Abstract

We construct a stochastic model of bacteriophage parasitism of a host bacteria that accounts for demographic stochasticity of host and parasite and allows for multiple bacteriophage adsorption to host. We analyze the associated deterministic model, identifying the basic reproductive number for phage proliferation, showing that host and phage persist when it exceeds unity, and establishing that the distribution of adsorbed phage on a host is binomial with slowly evolving mean. Not surprisingly, extinction of the parasite or both host and parasite can occur for the stochastic model.

Keywords

bacteriophagestochastic simulation algorithmphage adsorptionpersistencebasic reproductive number
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 4 , Issue 6: Ecology (Part 1) , 2009 , pp. 109 - 134
Copyright
© EDP Sciences, 2009

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