Qualitative Analysis of the Transmission Dynamics and Optimal Control of Covid-19

Qualitative Analysis of the Transmission Dynamics and Optimal Control of Covid-19 | 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 Qualitative Analysis of the Transmission Dynamics and Optimal Control of Covid-19 Idowu Kabir Oluwatobi, Loyinmi Adedapo Chris This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2707554/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 Globally, the COVID-19 presents a serious concern to the wellbeing of people. COVID-19 was first detected in Wuhan, China. The disease became a source of concern for Nigerians after the country registered its first case in February 2020. Currently, the country has recorded 255,103 confirmed cases, 249,246 recovered cases, and 3,142 deaths as of March 21, 2022. We proposed a SEQIHRV model to investigate the spread of coronavirus disease in Nigeria. This model defines the infection dynamics' transmission routes as well as effect of contaminated surfaces on the human population. Unfortunately, the virus's propagation and mortality from COVID-19 is increasing daily. Therefore, it is required to manage and control the flow of the infection. The impact of control measures as time-dependent interventions was investigated in this study utilizing optimization technique to determine their effects on the spread of Corona virus. The basic reproduction was calculated and used to calcite the sensitive parameters affecting the system, which revealed the key parameters leading to COVID-19 propagation. The control optimization of the sytem was performed using Pontryagin's maximum principle to determine the best approach for controlling the spread. The discoveries from the simulation showed that the combination of all four control approaches will help to reduce infection to zero in the population. Applied Mathematics Mathematical and Theoretical Biology Reproduction Number Stability Analysis SEQIHRV model Control measures Sensitivity Analysis Full Text Additional Declarations Competing interests: The authors declare no competing interests. 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. 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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-2707554","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":184525749,"identity":"58cf4899-cb50-4730-8f8c-0626ec86bc6d","order_by":0,"name":"Idowu Kabir Oluwatobi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3UlEQVRIiWNgGAWjYFACHoYDDAw2cvbHG4AcAwtiNIC1pBkznDkA0iJBnBYgOJzYcCMBxCBCiz1778EDH9sOGzPOfH51w48CCQb+9u4E/LbwnEs4OLMtXY5ZOqfsZg/QYRJnzm7Ar0Uix+Awb5u1MZt0TtoNHqAWA4lcIrT8bWNO7JE8k3bzD9FaGNucE2dIsB+7TZwtZ4B+6TmXZmzAk8N2W8ZAgoegX9jbew9/+FFmI2fAfvzZzTd/bOT423vxawEDRjawhQZgkrByMPgDtvABkapHwSgYBaNgpAEAyBVJHwuK+CAAAAAASUVORK5CYII=","orcid":"https://orcid.org/0000-0003-1345-4995","institution":"Tai Solarin University of Education","correspondingAuthor":true,"prefix":"","firstName":"Idowu","middleName":"Kabir","lastName":"Oluwatobi","suffix":""},{"id":184525750,"identity":"946d53e8-ab54-4b4e-a38c-6d06c44f82b3","order_by":1,"name":"Loyinmi Adedapo Chris","email":"","orcid":"https://orcid.org/0000-0002-6171-4256","institution":"Tai Solarin University of Education","correspondingAuthor":false,"prefix":"","firstName":"Loyinmi","middleName":"Adedapo","lastName":"Chris","suffix":""}],"badges":[],"createdAt":"2023-03-18 09:31:28","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2707554/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2707554/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":34605960,"identity":"8da696f4-e837-4fc0-859a-c846be4e8cd0","added_by":"auto","created_at":"2023-03-21 17:43:53","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":698959,"visible":true,"origin":"","legend":"","description":"","filename":"TobiNewmain.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2707554/v1_covered.pdf"}],"financialInterests":"\u003cp\u003eCompeting interests: The authors declare no competing interests.\u003c/p\u003e","formattedTitle":"\u003cp\u003e\u003cstrong\u003eQualitative Analysis of the Transmission Dynamics and Optimal Control of Covid-19\u003c/strong\u003e\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"Reproduction Number, Stability Analysis, SEQIHRV model, Control measures, Sensitivity Analysis","lastPublishedDoi":"10.21203/rs.3.rs-2707554/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2707554/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eGlobally, the COVID-19 presents a serious concern to the wellbeing of people. 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