Constrained optimal control applied to vaccination for influenza
Identifieur interne : 000902 ( Main/Merge ); précédent : 000901; suivant : 000903Constrained optimal control applied to vaccination for influenza
Auteurs : Jungeun Kim [Corée du Sud] ; Hee-Dae Kwon [Corée du Sud] ; Jeehyun Lee [Corée du Sud]Source :
- Computers & Mathematics with Applications [ 0898-1221 ] ; 2016.
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.
Url:
DOI: 10.1016/j.camwa.2015.12.044
PubMed: NONE
PubMed Central: 7125829
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University, Seoul 120-749, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author><author><name sortKey="Kwon, Hee Dae" sort="Kwon, Hee Dae" uniqKey="Kwon H" first="Hee-Dae" last="Kwon">Hee-Dae Kwon</name><affiliation wicri:level="1"><nlm:aff id="af000010">Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Mathematics, Inha University, Incheon 402-751</wicri:regionArea><wicri:noRegion>Incheon 402-751</wicri:noRegion></affiliation></author><author><name sortKey="Lee, Jeehyun" sort="Lee, Jeehyun" uniqKey="Lee J" first="Jeehyun" last="Lee">Jeehyun Lee</name><affiliation wicri:level="1"><nlm:aff id="af000005">Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author></analytic><series><title level="j">Computers & Mathematics with Applications</title><idno type="ISSN">0898-1221</idno><idno type="eISSN">0898-1221</idno><imprint><date when="2016">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>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.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Lipsitch, M" uniqKey="Lipsitch M">M. Lipsitch</name></author><author><name sortKey="Cohen, T" uniqKey="Cohen T">T. Cohen</name></author><author><name sortKey="Cooper, B" uniqKey="Cooper B">B. 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Gamkrelidze</name></author><author><name sortKey="Mishchenko, E F" uniqKey="Mishchenko E">E.F. Mishchenko</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Luenberger, David G" uniqKey="Luenberger D">David G. Luenberger</name></author><author><name sortKey="Ye, Yinyu" uniqKey="Ye Y">Yinyu Ye</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Emanuel, E J" uniqKey="Emanuel E">E.J. Emanuel</name></author><author><name sortKey="Wertheimer, A" uniqKey="Wertheimer A">A. Wertheimer</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Haddix, A C" uniqKey="Haddix A">A.C. Haddix</name></author><author><name sortKey="Teutsch, S M" uniqKey="Teutsch S">S.M. Teutsch</name></author><author><name sortKey="Shaffer, P A" uniqKey="Shaffer P">P.A. Shaffer</name></author><author><name sortKey="Dunet, D O" uniqKey="Dunet D">D.O. 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Yang</name></author></analytic></biblStruct><biblStruct></biblStruct><biblStruct></biblStruct><biblStruct></biblStruct></listBibl></div1></back></TEI><double doi="10.1016/j.camwa.2015.12.044"><PubMed><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Constrained optimal control applied to vaccination for influenza.</title><author><name sortKey="Kim, Jungeun" sort="Kim, Jungeun" uniqKey="Kim J" first="Jungeun" last="Kim">Jungeun Kim</name><affiliation wicri:level="1"><nlm:affiliation>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea.</nlm:affiliation><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author><author><name sortKey="Kwon, Hee Dae" sort="Kwon, Hee Dae" uniqKey="Kwon H" first="Hee-Dae" last="Kwon">Hee-Dae Kwon</name><affiliation wicri:level="1"><nlm:affiliation>Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea.</nlm:affiliation><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Mathematics, Inha University, Incheon 402-751</wicri:regionArea><wicri:noRegion>Incheon 402-751</wicri:noRegion></affiliation></author><author><name sortKey="Lee, Jeehyun" sort="Lee, Jeehyun" uniqKey="Lee J" first="Jeehyun" last="Lee">Jeehyun Lee</name><affiliation wicri:level="1"><nlm:affiliation>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea.</nlm:affiliation><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de 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J:constrained:optimal:control</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Constrained optimal control applied to vaccination for influenza.</title><author><name sortKey="Kim, Jungeun" sort="Kim, Jungeun" uniqKey="Kim J" first="Jungeun" last="Kim">Jungeun Kim</name><affiliation wicri:level="1"><nlm:affiliation>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea.</nlm:affiliation><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author><author><name sortKey="Kwon, Hee Dae" sort="Kwon, Hee Dae" uniqKey="Kwon H" first="Hee-Dae" last="Kwon">Hee-Dae Kwon</name><affiliation wicri:level="1"><nlm:affiliation>Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea.</nlm:affiliation><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Mathematics, Inha University, Incheon 402-751</wicri:regionArea><wicri:noRegion>Incheon 402-751</wicri:noRegion></affiliation></author><author><name sortKey="Lee, Jeehyun" sort="Lee, Jeehyun" uniqKey="Lee J" first="Jeehyun" last="Lee">Jeehyun Lee</name><affiliation wicri:level="1"><nlm:affiliation>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea.</nlm:affiliation><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author></analytic><series><title level="j">Computers & mathematics with applications (Oxford, England : 1987)</title><idno type="ISSN">0898-1221</idno><imprint><date when="2016" type="published">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">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.</div></front></TEI></PubMed><PMC><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Constrained optimal control applied to vaccination for influenza</title><author><name sortKey="Kim, Jungeun" sort="Kim, Jungeun" uniqKey="Kim J" first="Jungeun" last="Kim">Jungeun Kim</name><affiliation wicri:level="1"><nlm:aff id="af000005">Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author><author><name sortKey="Kwon, Hee Dae" sort="Kwon, Hee Dae" uniqKey="Kwon H" first="Hee-Dae" last="Kwon">Hee-Dae Kwon</name><affiliation wicri:level="1"><nlm:aff id="af000010">Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Mathematics, Inha University, Incheon 402-751</wicri:regionArea><wicri:noRegion>Incheon 402-751</wicri:noRegion></affiliation></author><author><name sortKey="Lee, Jeehyun" sort="Lee, Jeehyun" uniqKey="Lee J" first="Jeehyun" last="Lee">Jeehyun Lee</name><affiliation wicri:level="1"><nlm:aff id="af000005">Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de 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J:constrained:optimal:control</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Constrained optimal control applied to vaccination for influenza</title><author><name sortKey="Kim, Jungeun" sort="Kim, Jungeun" uniqKey="Kim J" first="Jungeun" last="Kim">Jungeun Kim</name><affiliation wicri:level="1"><nlm:aff id="af000005">Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author><author><name sortKey="Kwon, Hee Dae" sort="Kwon, Hee Dae" uniqKey="Kwon H" first="Hee-Dae" last="Kwon">Hee-Dae Kwon</name><affiliation wicri:level="1"><nlm:aff id="af000010">Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Mathematics, Inha University, Incheon 402-751</wicri:regionArea><wicri:noRegion>Incheon 402-751</wicri:noRegion></affiliation></author><author><name sortKey="Lee, Jeehyun" sort="Lee, Jeehyun" uniqKey="Lee J" first="Jeehyun" last="Lee">Jeehyun Lee</name><affiliation wicri:level="1"><nlm:aff id="af000005">Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea</nlm:aff><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation></author></analytic><series><title level="j">Computers & Mathematics with Applications</title><idno type="ISSN">0898-1221</idno><idno type="eISSN">0898-1221</idno><imprint><date when="2016">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>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.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Lipsitch, M" uniqKey="Lipsitch M">M. Lipsitch</name></author><author><name sortKey="Cohen, T" uniqKey="Cohen T">T. Cohen</name></author><author><name sortKey="Cooper, B" uniqKey="Cooper B">B. Cooper</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Fraser, C" uniqKey="Fraser C">C. Fraser</name></author><author><name sortKey="Donnelly, C A" uniqKey="Donnelly C">C.A. Donnelly</name></author><author><name sortKey="Cauchemez, S" uniqKey="Cauchemez S">S. Cauchemez</name></author><author><name sortKey="Hanage, W P" uniqKey="Hanage W">W.P. Hanage</name></author><author><name sortKey="Van Kerkhove, M D" uniqKey="Van Kerkhove M">M.D. Van Kerkhove</name></author><author><name sortKey="Hollingsworth, T D" uniqKey="Hollingsworth T">T.D. Hollingsworth</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Sypsa, V" uniqKey="Sypsa V">V. Sypsa</name></author><author><name sortKey="Pavlopoulou, I" uniqKey="Pavlopoulou I">I. Pavlopoulou</name></author><author><name sortKey="Hatzakis, A" uniqKey="Hatzakis A">A. Hatzakis</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Seierstad, A" uniqKey="Seierstad A">A. Seierstad</name></author><author><name sortKey="Sydsaeter, K" uniqKey="Sydsaeter K">K. Sydsaeter</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Gunzburger, Max D" uniqKey="Gunzburger M">Max D. Gunzburger</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lee, S" uniqKey="Lee S">S. Lee</name></author><author><name sortKey="Golinski, M" uniqKey="Golinski M">M. Golinski</name></author><author><name sortKey="Chowell, G" uniqKey="Chowell G">G. Chowell</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lee, J" uniqKey="Lee J">J. Lee</name></author><author><name sortKey="Kim, J" uniqKey="Kim J">J. Kim</name></author><author><name sortKey="Kwon, H D" uniqKey="Kwon H">H.D. Kwon</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Arino, J" uniqKey="Arino J">J. Arino</name></author><author><name sortKey="Brauer, F" uniqKey="Brauer F">F. Brauer</name></author><author><name sortKey="Van Den Driessche, P" uniqKey="Van Den Driessche P">P. van den Driessche</name></author><author><name sortKey="Watmough, J" uniqKey="Watmough J">J. Watmough</name></author><author><name sortKey="Wu, J" uniqKey="Wu J">J. Wu</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Cesari, L" uniqKey="Cesari L">L. Cesari</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Pontryagin, L S" uniqKey="Pontryagin L">L.S. Pontryagin</name></author><author><name sortKey="Boltyanskii, V G" uniqKey="Boltyanskii V">V.G. Boltyanskii</name></author><author><name sortKey="Gamkrelidze, R V" uniqKey="Gamkrelidze R">R.V. Gamkrelidze</name></author><author><name sortKey="Mishchenko, E F" uniqKey="Mishchenko E">E.F. Mishchenko</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Luenberger, David G" uniqKey="Luenberger D">David G. Luenberger</name></author><author><name sortKey="Ye, Yinyu" uniqKey="Ye Y">Yinyu Ye</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Emanuel, E J" uniqKey="Emanuel E">E.J. Emanuel</name></author><author><name sortKey="Wertheimer, A" uniqKey="Wertheimer A">A. Wertheimer</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Haddix, A C" uniqKey="Haddix A">A.C. Haddix</name></author><author><name sortKey="Teutsch, S M" uniqKey="Teutsch S">S.M. Teutsch</name></author><author><name sortKey="Shaffer, P A" uniqKey="Shaffer P">P.A. Shaffer</name></author><author><name sortKey="Dunet, D O" uniqKey="Dunet D">D.O. Dunet</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Longini, I M" uniqKey="Longini I">I.M. Longini</name></author><author><name sortKey="Halloran, M E" uniqKey="Halloran M">M.E. Halloran</name></author><author><name sortKey="Nizam, A" uniqKey="Nizam A">A. Nizam</name></author><author><name sortKey="Yang, Y" uniqKey="Yang Y">Y. Yang</name></author></analytic></biblStruct><biblStruct></biblStruct><biblStruct></biblStruct><biblStruct></biblStruct></listBibl></div1></back></TEI></PMC></double></record>Pour manipuler ce document sous Unix (Dilib)
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