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.
Bibliographical noteFunding Information:
Authors would like to thank referees for their valuable comments to improve the paper. The work of Jeehyun Lee was supported by the Korea Research Foundation Grant funded by the Korean Government ( KRF-2008-531-C00012 ). The work of Hee-Dae Kwon was supported in part by the National Research Foundation of Korea (NRF) Grant funded by the Korean government (MEST) ( 2009-0065241 ) and (2012-005605).
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