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 language | English |
|---|---|
| Pages (from-to) | 310-320 |
| Number of pages | 11 |
| Journal | Journal of Theoretical Biology |
| Volume | 317 |
| DOIs | |
| Publication status | Published - 2013 Jan 21 |
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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
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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 journal › Article
TY - JOUR
T1 - Optimal control of an influenza model with seasonal forcing and age-dependent transmission rates
AU - Lee, Jeehyun
AU - Kim, Jungeun
AU - Kwon, Hee Dae
PY - 2013/1/21
Y1 - 2013/1/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84869420825&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84869420825&partnerID=8YFLogxK
U2 - 10.1016/j.jtbi.2012.10.032
DO - 10.1016/j.jtbi.2012.10.032
M3 - Article
C2 - 23137836
AN - SCOPUS:84869420825
VL - 317
SP - 310
EP - 320
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
ER -