Constrained optimal control applied to vaccination for influenza
Identifieur interne : 000986 ( Pmc/Curation ); précédent : 000985; suivant : 000987Constrained 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.
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DOI: 10.1016/j.camwa.2015.12.044
PubMed: NONE
PubMed Central: 7125829
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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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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. 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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 article-type="research-article"><pmc-dir>properties open_access</pmc-dir>
<front><journal-meta><journal-id journal-id-type="nlm-ta">Comput Math Appl</journal-id><journal-id journal-id-type="iso-abbrev">Comput Math Appl</journal-id><journal-title-group><journal-title>Computers & Mathematics with Applications</journal-title></journal-title-group><issn pub-type="ppub">0898-1221</issn><issn pub-type="epub">0898-1221</issn><publisher><publisher-name>Elsevier Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmc">7125829</article-id><article-id pub-id-type="publisher-id">S0898-1221(16)00002-X</article-id><article-id pub-id-type="doi">10.1016/j.camwa.2015.12.044</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Constrained optimal control applied to vaccination for influenza</article-title></title-group><contrib-group><contrib contrib-type="author" id="au000005"><name><surname>Kim</surname><given-names>Jungeun</given-names></name><email>jekjek@yonsei.ac.kr</email><xref rid="af000005" ref-type="aff">a</xref></contrib><contrib contrib-type="author" id="au000010"><name><surname>Kwon</surname><given-names>Hee-Dae</given-names></name><email>hdkwon@inha.ac.kr</email><xref rid="af000010" ref-type="aff">b</xref></contrib><contrib contrib-type="author" id="au000015"><name><surname>Lee</surname><given-names>Jeehyun</given-names></name><email>ezhyun@yonsei.ac.kr</email><xref rid="af000005" ref-type="aff">a</xref><xref rid="cor000005" ref-type="corresp">⁎</xref></contrib></contrib-group><aff id="af000005"><label>a</label>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea</aff><aff id="af000010"><label>b</label>Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea</aff><author-notes><corresp id="cor000005"><label>⁎</label>Corresponding author. <email>ezhyun@yonsei.ac.kr</email></corresp></author-notes><pub-date pub-type="pmc-release"><day>21</day><month>1</month><year>2016</year></pub-date><pmc-comment> PMC Release delay is 0 months and 0 days and was based on .</pmc-comment>
<pub-date pub-type="ppub"><month>6</month><year>2016</year></pub-date><pub-date pub-type="epub"><day>21</day><month>1</month><year>2016</year></pub-date><volume>71</volume><issue>11</issue><fpage>2313</fpage><lpage>2329</lpage><permissions><copyright-statement>© 2016 Elsevier Ltd. All rights reserved.</copyright-statement><copyright-year>2016</copyright-year><copyright-holder>Elsevier Ltd</copyright-holder><license><license-p>Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.</license-p></license></permissions><abstract id="a000005"><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></abstract><kwd-group id="ks000005"><title>Keywords</title><kwd>Optimal control</kwd><kwd>State constraints</kwd><kwd>Control constraints</kwd><kwd>Structured population</kwd><kwd>Time dependent vaccination</kwd></kwd-group></article-meta></front></pmc></record>Pour manipuler ce document sous Unix (Dilib)
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