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 journalArticle

70 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)118-130
Number of pages13
JournalJournal of Theoretical Biology
Volume253
Issue number1
DOIs
StatePublished - Jul 7 2008
Externally publishedYes

Fingerprint

Vaccination
Influenza
influenza
Human Influenza
Antiviral Agents
Reproduction
Reproduction number
Compartmental Model
Basic Reproduction Number
vaccination
Stochastic Simulation
Deterministic Model
Uncertainty
Basic Reproduction number
Numerical Computation
Stochastic Model
Simulation Model
Therapeutics
Model
Prediction

Keywords

  • Control reproduction number
  • Disease transmission model
  • Elasticity
  • Final size
  • Sensitivity

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

A model for influenza with vaccination and antiviral treatment. / Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong.

In: Journal of Theoretical Biology, Vol. 253, No. 1, 07.07.2008, p. 118-130.

Research output: Contribution to journalArticle

Arino, Julien ; Brauer, Fred ; van den Driessche, P. ; Watmough, James ; Wu, Jianhong. / A model for influenza with vaccination and antiviral treatment. In: Journal of Theoretical Biology. 2008 ; Vol. 253, No. 1. pp. 118-130.
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