Constrained optimal control applied to vaccination for influenza

Jungeun Kim; Hee Dae Kwon; Jeehyun Lee

doi:10.1016/j.camwa.2015.12.044

Constrained optimal control applied to vaccination for influenza

Jungeun Kim, Hee Dae Kwon, Jeehyun Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The efficient time schedule and prioritization of vaccine supplies are important in mitigating impact of an influenza pandemic. In practice, there are restrictions associated with limited vaccination coverage and the maximum daily vaccine administration. We extend previous work on optimal control for influenza to reflect these realistic restrictions using mixed constraints on state and control variables. An optimal control problem is formulated with the aim of minimizing the number of infected individuals while considering intervention costs. Time-dependent vaccination is computed and analysed using a model incorporating heterogeneity in population structure under different settings of transmissibility levels, vaccine coverages, and time delays.

Original language	English
Pages (from-to)	2313-2329
Number of pages	17
Journal	Computers and Mathematics with Applications
Volume	71
Issue number	11
DOIs	https://doi.org/10.1016/j.camwa.2015.12.044
Publication status	Published - 2016 Jun 1

Bibliographical note

Funding Information:
The work of Hee-Dae Kwon was supported by the NRF Grant funded by the Korean government ( NRF-2014R1A1A2056498 ). The work of Jeehyun Lee was supported by NRF grant 2015 R1A5A1009350 .

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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title = "Constrained optimal control applied to vaccination for influenza",

abstract = "The efficient time schedule and prioritization of vaccine supplies are important in mitigating impact of an influenza pandemic. In practice, there are restrictions associated with limited vaccination coverage and the maximum daily vaccine administration. We extend previous work on optimal control for influenza to reflect these realistic restrictions using mixed constraints on state and control variables. An optimal control problem is formulated with the aim of minimizing the number of infected individuals while considering intervention costs. Time-dependent vaccination is computed and analysed using a model incorporating heterogeneity in population structure under different settings of transmissibility levels, vaccine coverages, and time delays.",

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note = "Funding Information: The work of Hee-Dae Kwon was supported by the NRF Grant funded by the Korean government ( NRF-2014R1A1A2056498 ). The work of Jeehyun Lee was supported by NRF grant 2015 R1A5A1009350 . ",

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