SEIRS-SEI Model of Malaria Disease with Application of Vaccines and Anti-Malarial Drugs

SEIRS-SEI Model of Malaria Disease with Application of Vaccines and Anti-Malarial Drugs | 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 SEIRS-SEI Model of Malaria Disease with Application of Vaccines and Anti-Malarial Drugs Resmawan Resmawan This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-533624/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 article discusses the mathematical model of SEIRS-SEI type malaria disease. Modification of the model is done by giving the treatment in humans, in the form of vaccines and anti-malarial drugs treatment. In this model, the human population is divided into four classes, namely susceptible human, exposed human, infected human, and recovered human. The mosquito population is divided into three classes, namely susceptible mosquito, exposed mosquito and infected mosquito. Furthermore, the analysis of the model to show the effect of treatment given to disease transmission. At the end of this article is provided numerical simulations to show the effectiveness of vaccines and anti-malarial drugs in humans to suppress the rate of transmission of disease. The simulation results show that the increase of vaccines effectiveness and anti-malarial drugs in humans can reduce the reproduction numbers, so that within a certain time the disease will disappear from the population. Mathematical and Theoretical Biology Applied Mathematics Epidemic Model Malaria SEIRS-SEI model Treatment Vaccines Full Text 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-533624","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":28238767,"identity":"100f2f4c-fdff-4805-abb8-08a420ea7c5b","order_by":0,"name":"Resmawan Resmawan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAzElEQVRIiWNgGAWjYDADfhiDjSGBSC2SDSRrMTgAZxLQYt7e/nTDzza7POMbuYdfMNTYMfCxE9Aic+aM2c3etuRisxt5aRYMx5IZ2Hge4NciIZHDdoN3G3Piths5ZgYMbAcY2CQI2CIh//zZzb/b6hM3zwBp+UeMFgkGs9u82w4nbpDIMX7A2EaMFp4cs9uy/44nzjjzxowhsS+Zh7Bf2I8/u/nmTHVif3uO8YcP3+zk5NsJ2IIMwE7iIV49EDB/IEn5KBgFo2AUjBgAAGA/QZzKOEz3AAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0001-7921-2804","institution":"Universitas Negeri Gorontalo, Indonesia","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Resmawan","middleName":"","lastName":"Resmawan","suffix":""}],"badges":[],"createdAt":"2021-05-17 04:53:40","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":true,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false,"coiExplicitlySet":false},"doi":"10.21203/rs.3.rs-533624/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-533624/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":13635507,"identity":"ff3c7655-2cbf-4f99-b0b4-85894dc75f5b","added_by":"auto","created_at":"2021-09-17 08:37:24","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":457089,"visible":true,"origin":"","legend":"","description":"","filename":"SEIRSSEIModelofMalariaDiseasewithApplicationofVaccinesandAntiMalarialDrugs.pdf","url":"https://assets-eu.researchsquare.com/files/rs-533624/v1_covered.pdf"},{"id":9446970,"identity":"a472c264-fda5-48ad-9f01-fd3191b50e54","added_by":"auto","created_at":"2021-05-21 18:06:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":465927,"visible":true,"origin":"","legend":"","description":"","filename":"SEIRSSEIModelofMalariaDiseasewithApplicationofVaccinesandAntiMalarialDrugs.pdf","url":"https://assets-eu.researchsquare.com/files/rs-533624/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eSEIRS-SEI Model of Malaria Disease with Application of Vaccines and Anti-Malarial Drugs\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-533624/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"Universitas Negeri Gorontalo","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"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":"Epidemic Model, Malaria, SEIRS-SEI model, Treatment, Vaccines","lastPublishedDoi":"10.21203/rs.3.rs-533624/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-533624/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis article discusses the mathematical model of SEIRS-SEI type malaria disease. Modification of the model is done by giving the treatment in humans, in the form of vaccines and anti-malarial drugs treatment. In this model, the human population is divided into four classes, namely susceptible human, exposed human, infected human, and recovered human. The mosquito population is divided into three classes, namely susceptible mosquito, exposed mosquito and infected mosquito. Furthermore, the analysis of the model to show the effect of treatment given to disease transmission. At the end of this article is provided numerical simulations to show the effectiveness of vaccines and anti-malarial drugs in humans to suppress the rate of transmission of disease. 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