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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 ofbacteriophage parasitism of a host bacteria that accounts fordemographic stochasticity of host and parasite and allows formultiple bacteriophage adsorption to host. We analyze the associateddeterministic model, identifying the basic reproductive number forphage proliferation, showing that host and phage persist when itexceeds unity, and establishing that the distribution of adsorbedphage on a host is binomial with slowly evolving mean. Notsurprisingly, extinction of the parasite or both host and parasitecan occur for the stochastic model.

Keywords

bacteriophagestochastic simulationalgorithmphage 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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