A model for influenza with vaccination and antiviral treatment

Julien Arino; Fred Brauer; P. van den Driessche; James Watmough; Jianhong Wu

doi:10.1016/j.jtbi.2008.02.026

A model for influenza with vaccination and antiviral treatment

Julien Arino, Fred Brauer, P. van den Driessche, James Watmough, Jianhong Wu

Research output: Contribution to journal › Article › peer-review

111 Scopus citations

Abstract

Compartmental models for influenza that include control by vaccination and antiviral treatment are formulated. Analytic expressions for the basic reproduction number, control reproduction number and the final size of the epidemic are derived for this general class of disease transmission models. Sensitivity and uncertainty analyses of the dependence of the control reproduction number on the parameters of the model give a comparison of the various intervention strategies. Numerical computations of the deterministic models are compared with those of recent stochastic simulation influenza models. Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models.

Original language	English (US)
Pages (from-to)	118-130
Number of pages	13
Journal	Journal of Theoretical Biology
Volume	253
Issue number	1
DOIs	https://doi.org/10.1016/j.jtbi.2008.02.026
State	Published - Jul 7 2008
Externally published	Yes

Keywords

Control reproduction number
Disease transmission model
Elasticity
Final size
Sensitivity

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/j.jtbi.2008.02.026

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abstract = "Compartmental models for influenza that include control by vaccination and antiviral treatment are formulated. Analytic expressions for the basic reproduction number, control reproduction number and the final size of the epidemic are derived for this general class of disease transmission models. Sensitivity and uncertainty analyses of the dependence of the control reproduction number on the parameters of the model give a comparison of the various intervention strategies. Numerical computations of the deterministic models are compared with those of recent stochastic simulation influenza models. Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models.",

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AU - Arino, Julien

AU - Brauer, Fred

AU - van den Driessche, P.

AU - Watmough, James

AU - Wu, Jianhong

PY - 2008/7/7

Y1 - 2008/7/7

N2 - Compartmental models for influenza that include control by vaccination and antiviral treatment are formulated. Analytic expressions for the basic reproduction number, control reproduction number and the final size of the epidemic are derived for this general class of disease transmission models. Sensitivity and uncertainty analyses of the dependence of the control reproduction number on the parameters of the model give a comparison of the various intervention strategies. Numerical computations of the deterministic models are compared with those of recent stochastic simulation influenza models. Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models.

AB - Compartmental models for influenza that include control by vaccination and antiviral treatment are formulated. Analytic expressions for the basic reproduction number, control reproduction number and the final size of the epidemic are derived for this general class of disease transmission models. Sensitivity and uncertainty analyses of the dependence of the control reproduction number on the parameters of the model give a comparison of the various intervention strategies. Numerical computations of the deterministic models are compared with those of recent stochastic simulation influenza models. Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models.

KW - Control reproduction number

KW - Disease transmission model

KW - Elasticity

KW - Final size

KW - Sensitivity

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A model for influenza with vaccination and antiviral treatment

Abstract

Keywords

ASJC Scopus subject areas

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