Bacteriophage Infection Dynamics: Multiple Host Binding Sites

H. L. Smith; R. T. Trevino

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 6, page 109-134
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Smith, H. L., and Trevino, R. T.. "Bacteriophage Infection Dynamics: Multiple Host Binding Sites." Mathematical Modelling of Natural Phenomena 4.6 (2009): 109-134. <http://eudml.org/doc/222284>.

@article{Smith2009,
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. },
author = {Smith, H. L., Trevino, R. T.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {bacteriophage; stochastic simulation algorithm; phage adsorption; persistence; basic reproductive number; stochastic simulation algorithm},
language = {eng},
month = {11},
number = {6},
pages = {109-134},
publisher = {EDP Sciences},
title = {Bacteriophage Infection Dynamics: Multiple Host Binding Sites},
url = {http://eudml.org/doc/222284},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Smith, H. L.
AU - Trevino, R. T.
TI - Bacteriophage Infection Dynamics: Multiple Host Binding Sites
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/11//
PB - EDP Sciences
VL - 4
IS - 6
SP - 109
EP - 134
AB - 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.
LA - eng
KW - bacteriophage; stochastic simulation algorithm; phage adsorption; persistence; basic reproductive number; stochastic simulation algorithm
UR - http://eudml.org/doc/222284
ER -

References

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