Optimal Control to Limit the Spread of COVID-19 in Italy
We apply optimal control theory to a generalized SEIR-type model. The proposed system has three controls, representing social distancing, preventive means, and treatment measures to combat the spread of the COVID-19 pandemic. We analyze such optimal control problem with respect to real data transmis...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2021-07 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Zaitri, Mohamed Abdelaziz Bibi, Mohand Ouamer Torres, Delfim F M |
| description | We apply optimal control theory to a generalized SEIR-type model. The proposed system has three controls, representing social distancing, preventive means, and treatment measures to combat the spread of the COVID-19 pandemic. We analyze such optimal control problem with respect to real data transmission in Italy. Our results show the appropriateness of the model, in particular with respect to the number of quarantined/hospitalized (confirmed and infected) and recovered individuals. Considering the Pontryagin controls, we show how in a perfect world one could have drastically diminish the number of susceptible, exposed, infected, quarantined/hospitalized, and death individuals, by increasing the population of insusceptible/protected. |
| doi_str_mv | 10.48550/arxiv.2107.11849 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2107_11849</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2555486708</sourcerecordid><originalsourceid>FETCH-LOGICAL-a528-a159b3646c25225097dd5c64ed9ff9910cbc088725f8e9af0545ca8ccb5a64b53</originalsourceid><addsrcrecordid>eNotj01LwzAch4MgOOY-gCcDnlvz9k-To9S3QqEHh9eSpgl2dG1NM3Hf3m7z9Ls8_HgehO4oSYUCII8m_HY_KaMkSylVQl-hFeOcJkowdoM287wjhDCZMQC-QqqaYrc3Pc7HIYaxx3HEZbfvIo5fDn9MwZkWjx7n1WfxnFCNuwEX0fTHW3TtTT-7zf-u0fb1ZZu_J2X1VuRPZWKAqcRQ0A2XQloGjAHRWduClcK12nutKbGNJUotMl45bTwBAdYoaxswUjTA1-j-cnvOqqewyIZjfcqrz3kL8XAhpjB-H9wc6914CMPiVC-JIJTMiOJ_TBVP0w</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2555486708</pqid></control><display><type>article</type><title>Optimal Control to Limit the Spread of COVID-19 in Italy</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Zaitri, Mohamed Abdelaziz ; Bibi, Mohand Ouamer ; Torres, Delfim F M</creator><creatorcontrib>Zaitri, Mohamed Abdelaziz ; Bibi, Mohand Ouamer ; Torres, Delfim F M</creatorcontrib><description>We apply optimal control theory to a generalized SEIR-type model. The proposed system has three controls, representing social distancing, preventive means, and treatment measures to combat the spread of the COVID-19 pandemic. We analyze such optimal control problem with respect to real data transmission in Italy. Our results show the appropriateness of the model, in particular with respect to the number of quarantined/hospitalized (confirmed and infected) and recovered individuals. Considering the Pontryagin controls, we show how in a perfect world one could have drastically diminish the number of susceptible, exposed, infected, quarantined/hospitalized, and death individuals, by increasing the population of insusceptible/protected.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2107.11849</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Control theory ; Coronaviruses ; COVID-19 ; Data transmission ; Disease control ; Disease transmission ; Mathematics - Optimization and Control ; Optimal control ; Quantitative Biology - Populations and Evolution ; Quarantine</subject><ispartof>arXiv.org, 2021-07</ispartof><rights>2021. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2107.11849$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48129/kjs.splcov.13961$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Zaitri, Mohamed Abdelaziz</creatorcontrib><creatorcontrib>Bibi, Mohand Ouamer</creatorcontrib><creatorcontrib>Torres, Delfim F M</creatorcontrib><title>Optimal Control to Limit the Spread of COVID-19 in Italy</title><title>arXiv.org</title><description>We apply optimal control theory to a generalized SEIR-type model. The proposed system has three controls, representing social distancing, preventive means, and treatment measures to combat the spread of the COVID-19 pandemic. We analyze such optimal control problem with respect to real data transmission in Italy. Our results show the appropriateness of the model, in particular with respect to the number of quarantined/hospitalized (confirmed and infected) and recovered individuals. Considering the Pontryagin controls, we show how in a perfect world one could have drastically diminish the number of susceptible, exposed, infected, quarantined/hospitalized, and death individuals, by increasing the population of insusceptible/protected.</description><subject>Control theory</subject><subject>Coronaviruses</subject><subject>COVID-19</subject><subject>Data transmission</subject><subject>Disease control</subject><subject>Disease transmission</subject><subject>Mathematics - Optimization and Control</subject><subject>Optimal control</subject><subject>Quantitative Biology - Populations and Evolution</subject><subject>Quarantine</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj01LwzAch4MgOOY-gCcDnlvz9k-To9S3QqEHh9eSpgl2dG1NM3Hf3m7z9Ls8_HgehO4oSYUCII8m_HY_KaMkSylVQl-hFeOcJkowdoM287wjhDCZMQC-QqqaYrc3Pc7HIYaxx3HEZbfvIo5fDn9MwZkWjx7n1WfxnFCNuwEX0fTHW3TtTT-7zf-u0fb1ZZu_J2X1VuRPZWKAqcRQ0A2XQloGjAHRWduClcK12nutKbGNJUotMl45bTwBAdYoaxswUjTA1-j-cnvOqqewyIZjfcqrz3kL8XAhpjB-H9wc6914CMPiVC-JIJTMiOJ_TBVP0w</recordid><startdate>20210725</startdate><enddate>20210725</enddate><creator>Zaitri, Mohamed Abdelaziz</creator><creator>Bibi, Mohand Ouamer</creator><creator>Torres, Delfim F M</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>COVID</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>ALC</scope><scope>GOX</scope></search><sort><creationdate>20210725</creationdate><title>Optimal Control to Limit the Spread of COVID-19 in Italy</title><author>Zaitri, Mohamed Abdelaziz ; Bibi, Mohand Ouamer ; Torres, Delfim F M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a528-a159b3646c25225097dd5c64ed9ff9910cbc088725f8e9af0545ca8ccb5a64b53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Control theory</topic><topic>Coronaviruses</topic><topic>COVID-19</topic><topic>Data transmission</topic><topic>Disease control</topic><topic>Disease transmission</topic><topic>Mathematics - Optimization and Control</topic><topic>Optimal control</topic><topic>Quantitative Biology - Populations and Evolution</topic><topic>Quarantine</topic><toplevel>online_resources</toplevel><creatorcontrib>Zaitri, Mohamed Abdelaziz</creatorcontrib><creatorcontrib>Bibi, Mohand Ouamer</creatorcontrib><creatorcontrib>Torres, Delfim F M</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Coronavirus Research Database</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv Quantitative Biology</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zaitri, Mohamed Abdelaziz</au><au>Bibi, Mohand Ouamer</au><au>Torres, Delfim F M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimal Control to Limit the Spread of COVID-19 in Italy</atitle><jtitle>arXiv.org</jtitle><date>2021-07-25</date><risdate>2021</risdate><eissn>2331-8422</eissn><abstract>We apply optimal control theory to a generalized SEIR-type model. The proposed system has three controls, representing social distancing, preventive means, and treatment measures to combat the spread of the COVID-19 pandemic. We analyze such optimal control problem with respect to real data transmission in Italy. Our results show the appropriateness of the model, in particular with respect to the number of quarantined/hospitalized (confirmed and infected) and recovered individuals. Considering the Pontryagin controls, we show how in a perfect world one could have drastically diminish the number of susceptible, exposed, infected, quarantined/hospitalized, and death individuals, by increasing the population of insusceptible/protected.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2107.11849</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2021-07 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2107_11849 |
| source | arXiv.org; Free E- Journals |
| subjects | Control theory Coronaviruses COVID-19 Data transmission Disease control Disease transmission Mathematics - Optimization and Control Optimal control Quantitative Biology - Populations and Evolution Quarantine |
| title | Optimal Control to Limit the Spread of COVID-19 in Italy |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T05%3A34%3A05IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Optimal%20Control%20to%20Limit%20the%20Spread%20of%20COVID-19%20in%20Italy&rft.jtitle=arXiv.org&rft.au=Zaitri,%20Mohamed%20Abdelaziz&rft.date=2021-07-25&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2107.11849&rft_dat=%3Cproquest_arxiv%3E2555486708%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2555486708&rft_id=info:pmid/&rfr_iscdi=true |