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

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

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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