Analysis of control impact on the HIV reproductive cycle in a cross infection epidemic model

Analysis of control impact on the HIV reproductive cycle in a cross infection 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 Analysis of control impact on the HIV reproductive cycle in a cross infection epidemic model Paolo DI GIAMBERARDINO, Daniela Iacoviello This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3353427/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 02 May, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted 4 You are reading this latest preprint version Abstract Despite the great advances in HIV treatment, there are still several processes in the dynamics of the infection that are not yet fully understood. Some evidences show that when the therapy HAART is suspended, infection resumes, suggesting the existence of virus reservoirs; these have been identified in the lungs, brain and guts. In this paper, following the compartmental approach, a recently proposed model is addressed, considering in particular the brain as reservoir and distinguishing the cells depending on whether they are inside or outside the brain, both infected and non infected. Controls mimicking the drug action are introduced and the model is analysed in terms of equilibrium points and stability, also determining the reproduction number. Numerical results are used to put in evidence the main dynamics characteristics. Modelling HIV Brain Infection Virions Viral Reservoirs Full Text Cite Share Download PDF Status: Published Journal Publication published 02 May, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted Reviewers agreed at journal 25 Sep, 2023 Reviewers invited by journal 20 Sep, 2023 Editor assigned by journal 14 Sep, 2023 First submitted to journal 13 Sep, 2023 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-3353427","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":234891508,"identity":"3e6fb761-9deb-4963-a0f8-d69113a18b74","order_by":0,"name":"Paolo DI GIAMBERARDINO","email":"data:image/png;base64,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","orcid":"https://orcid.org/0000-0002-9113-8608","institution":"Sapienza University of Rome: Universita degli Studi di Roma La Sapienza","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Paolo","middleName":"DI","lastName":"GIAMBERARDINO","suffix":""},{"id":234891509,"identity":"9a598fdc-6c0f-40c5-a825-6e73a9683365","order_by":1,"name":"Daniela Iacoviello","email":"","orcid":"","institution":"Sapienza University of Rome: Universita degli Studi di Roma La Sapienza","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Daniela","middleName":"","lastName":"Iacoviello","suffix":""}],"badges":[],"createdAt":"2023-09-13 23:55:08","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3353427/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3353427/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-024-09496-w","type":"published","date":"2024-05-02T19:57:19+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":56042736,"identity":"2cdf5263-de18-4ee9-985b-ec9bdf630e01","added_by":"auto","created_at":"2024-05-07 20:05:36","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":4968165,"visible":true,"origin":"","legend":"","description":"","filename":"PaperVersioneCompletaDI.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3353427/v1_covered_8adaf1ae-58a0-4523-9cd8-4f013db1fa60.pdf"}],"financialInterests":"","formattedTitle":"Analysis of control impact on the HIV reproductive cycle in a cross infection epidemic model","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Modelling, HIV, Brain Infection, Virions, Viral Reservoirs","lastPublishedDoi":"10.21203/rs.3.rs-3353427/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3353427/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Despite the great advances in HIV treatment, there are still several processes in the dynamics of the infection that are not yet fully understood. 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