Optimal control of an influenza model with seasonal forcing and age-dependent transmission rates

Jeehyun Lee, Jungeun Kim, Hee Dae Kwon

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

This study considers an optimal intervention strategy for influenza outbreaks. Variations in the SEIAR model are considered to include seasonal forcing and age structure, and control strategies include vaccination, antiviral treatment, and social distancing such as school closures. We formulate an optimal control problem by minimizing the incidence of influenza outbreaks while considering intervention costs. We examine the effects of delays in vaccine production, seasonal forcing, and age-dependent transmission rates on the optimal control and suggest some optimal strategies through numerical simulations.

Original languageEnglish
Pages (from-to)310-320
Number of pages11
JournalJournal of Theoretical Biology
Volume317
DOIs
Publication statusPublished - 2013 Jan 21

Fingerprint

Influenza
influenza
Human Influenza
Forcing
Disease Outbreaks
Optimal Control
Age Structure
Vaccination
Dependent
Vaccine
Optimal Strategy
Antiviral Agents
age structure
Control Strategy
Optimal Control Problem
Incidence
Closure
Vaccines
vaccination
vaccines

All Science Journal Classification (ASJC) codes

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

Cite this

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Optimal control of an influenza model with seasonal forcing and age-dependent transmission rates. / Lee, Jeehyun; Kim, Jungeun; Kwon, Hee Dae.

In: Journal of Theoretical Biology, Vol. 317, 21.01.2013, p. 310-320.

Research output: Contribution to journalArticle

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