Dynamics and combinational optimal control of the SEIQHR epidemic model

Dynamics and combinational optimal control of the SEIQHR epidemic model | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Dynamics and combinational optimal control of the SEIQHR epidemic model Mali Xing, Hancheng Zhan, Yanyan Ye, Renquan Lu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4207437/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper proposes a SEIQHR compartmental model for infectious diseases, which further subdivides the population carrying the pathogen based on the severity of symptoms in individuals. Then we analyze the existence and stability of the equilibrium by calculating the basic reproduction number. Sensitivity analysis indicates that the outbreak of asymptomatic individuals is a key factor in the spread of an epidemic, making it crucial to screen and isolate this population. Further, taking into account quarantine and hospitalization as control measures, we propose an optimal strategy, which aims to minimize the costs associated with disease burden and the implementation of controls. Utilizing the Pontryagin’s Maximum Principle, the optimal control curves of the corresponding controls are obtained. Ultimately, numerical simulation demonstrate that quarantine can mitigate the epidemic peak and diminish the duration of disease prevalence. Hospitalization is beneficial for alleviating the pressure on medical resources within hospitals, which is more economically viable than quarantine. The combinational control strategy can aptly manage the epidemic while substantially reducing the control cost, which verifies the effectiveness of this comprehensive approach to epidemic control. SEIQHR compartment model sensitivity analysis combinational optimal control Pontryagin’s Maximum Principle Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4207437","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":289493127,"identity":"1565543f-e667-4102-a23f-611ae01cc29b","order_by":0,"name":"Mali Xing","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Mali","middleName":"","lastName":"Xing","suffix":""},{"id":289493130,"identity":"ee9e303b-a6a0-4468-9266-2559b7bbf75f","order_by":1,"name":"Hancheng Zhan","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hancheng","middleName":"","lastName":"Zhan","suffix":""},{"id":289493134,"identity":"ea31ea59-f9a7-442c-b19d-973f2fe856ab","order_by":2,"name":"Yanyan Ye","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0UlEQVRIiWNgGAWjYJACCQYGGx429uYDBz78IFpLQpocH8+xxIMze4jXcthYTiLH+DAHGxHKdacdv3ib9wdzYptEzofDDDwM8vxiB/BrMbudU2zNk8CW2MbzdsPhAgsGw5mzEwhqSZPmSeBJbGPP3XB4Bg9DgsFt4rRIJLYx5Dw4zMNGlJb0Y0AtBsZsHDkMxGrJYback5Ygx8ZzzAAYyBLE+CX94Y03Nv955NubH3/48MNGnl+agBYGBh4DZJ4EIeUgwP6AGFWjYBSMglEwkgEA769GD8AXvaEAAAAASUVORK5CYII=","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Yanyan","middleName":"","lastName":"Ye","suffix":""},{"id":289493137,"identity":"36c4ff35-cc54-4c20-a08f-51773eea1564","order_by":3,"name":"Renquan Lu","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Renquan","middleName":"","lastName":"Lu","suffix":""}],"badges":[],"createdAt":"2024-04-02 14:37:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4207437/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4207437/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":55265665,"identity":"80af7351-ceb6-4e51-a7b7-060eb221afc7","added_by":"auto","created_at":"2024-04-25 02:13:01","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":772099,"visible":true,"origin":"","legend":"","description":"","filename":"mymanuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4207437/v1_covered_044f99eb-9748-4620-b448-b5be7a3e93dc.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamics and combinational optimal control of the SEIQHR epidemic model","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"SEIQHR compartment model, sensitivity analysis, combinational optimal control, Pontryagin’s Maximum Principle","lastPublishedDoi":"10.21203/rs.3.rs-4207437/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4207437/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper proposes a SEIQHR compartmental model for infectious diseases, which further subdivides the population carrying the pathogen based on the severity of symptoms in individuals. 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