Constrained optimal control applied to vaccination for influenza.
Identifieur interne : 002085 ( Ncbi/Merge ); précédent : 002084; suivant : 002086Constrained 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 (Oxford, England : 1987) [ 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.
DOI: 10.1016/j.camwa.2015.12.044
PubMed: 32288204
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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.</div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">32288204</PMID><DateRevised><Year>2020</Year><Month>04</Month><Day>18</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Print">0898-1221</ISSN><JournalIssue CitedMedium="Print"><Volume>71</Volume><Issue>11</Issue><PubDate><Year>2016</Year><Month>Jun</Month></PubDate></JournalIssue><Title>Computers & mathematics with applications (Oxford, England : 1987)</Title><ISOAbbreviation>Comput Math Appl</ISOAbbreviation></Journal><ArticleTitle>Constrained optimal control applied to vaccination for influenza.</ArticleTitle><Pagination><MedlinePgn>2313-2329</MedlinePgn></Pagination><ELocationID EIdType="doi" ValidYN="Y">10.1016/j.camwa.2015.12.044</ELocationID><Abstract><AbstractText>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.</AbstractText><CopyrightInformation>© 2016 Elsevier Ltd. All rights reserved.</CopyrightInformation></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Kim</LastName><ForeName>Jungeun</ForeName><Initials>J</Initials><AffiliationInfo><Affiliation>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Kwon</LastName><ForeName>Hee-Dae</ForeName><Initials>HD</Initials><AffiliationInfo><Affiliation>Department of Mathematics, Inha University, Incheon 402-751, Republic of Korea.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Lee</LastName><ForeName>Jeehyun</ForeName><Initials>J</Initials><AffiliationInfo><Affiliation>Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2016</Year><Month>01</Month><Day>21</Day></ArticleDate></Article><MedlineJournalInfo><Country>England</Country><MedlineTA>Comput Math Appl</MedlineTA><NlmUniqueID>101092359</NlmUniqueID><ISSNLinking>0898-1221</ISSNLinking></MedlineJournalInfo><KeywordList Owner="NOTNLM"><Keyword MajorTopicYN="N">Control constraints</Keyword><Keyword MajorTopicYN="N">Optimal control</Keyword><Keyword MajorTopicYN="N">State constraints</Keyword><Keyword MajorTopicYN="N">Structured population</Keyword><Keyword MajorTopicYN="N">Time dependent vaccination</Keyword></KeywordList></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="entrez"><Year>2020</Year><Month>4</Month><Day>15</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2016</Year><Month>6</Month><Day>1</Day><Hour>0</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2016</Year><Month>6</Month><Day>1</Day><Hour>0</Hour><Minute>1</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">32288204</ArticleId><ArticleId IdType="doi">10.1016/j.camwa.2015.12.044</ArticleId><ArticleId IdType="pii">S0898-1221(16)00002-X</ArticleId><ArticleId IdType="pmc">PMC7125829</ArticleId></ArticleIdList><pmc-dir>pmcsd</pmc-dir>
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