Analysis and control of new invariant JN.1 under generalized incidence rate for low immune: Mathematical modeling and bifurcation

Analysis and control of new invariant JN.1 under generalized incidence rate for low immune: Mathematical modeling and bifurcation | 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 and control of new invariant JN.1 under generalized incidence rate for low immune: Mathematical modeling and bifurcation Moin-ud-Din Junjua, Muhammad Faheem, Aqeel Ahmad, Muhammad Saeed Akram, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4556077/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 3 You are reading this latest preprint version Abstract The goal of this study is to analyze and control the new variant JN.1 under generalized incidence rate for low immune individuals by taking combine measures of vaccination as well as quarantine. By incorporating vaccination and quarantine together with generalized incidence rate a new mathematical model is developed based on generated novel hypothesis. To ascertain the stable status of the recently constructed SEVIQR system which is analysis both qualitatively and quantitatively to understand the dynamics of spread as well as control under bounded domain including bifurcation analysis. Stability analysis have been derived on local as well as global scale using Lyapunov’s first derivative functions to evaluate the overall effects of disease propagation and control. The existence and positive solutions property is also derived under non local operator. To ensure reliable bounded findings, the boundedness and uniqueness are examined, those are necessary characteristics for epidemic models. We use Lipschit’z conditions and linear growth to fully validate the global derivative that characterizes the rate of change of disease impact on each sub-compartment. The bounded approximate solutions for new invariant JN.1 derived sing Mittag-Leffler kernel with fractal fractional operator for continuous monitoring. Simulations are derived using MATLAB coding to observe the real impact of spread as well as control of virus caused by new variant JN.1 with generalized incidence rate, a variety of factors are imposed with constant monitoring. To observe the asymptomatic and symptomatic consequences of the corona virus illness under new variant JN.1, simulations are developed with combine actions of vaccination as well as quarantine effects for low immunity people to capture the disease’s true behavior. To comprehend how the virus spreads for low immune individuals and to create efficient control plans based on the results that make sense such investigations are valuable. Mittag-Leffler Kernel Uniqueness Global Stability Effect of Global derivative Bifurcation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editor assigned by journal 13 Jun, 2024 Submission checks completed at journal 10 Jun, 2024 First submitted to journal 10 Jun, 2024 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-4556077","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":313868675,"identity":"2489f817-d519-47d1-af84-450a50d98af1","order_by":0,"name":"Moin-ud-Din Junjua","email":"","orcid":"","institution":"Zhejiang Normal University","correspondingAuthor":false,"prefix":"","firstName":"Moin-ud-Din","middleName":"","lastName":"Junjua","suffix":""},{"id":313868676,"identity":"07e0607c-5fd8-4fe1-9225-61aef0a8818c","order_by":1,"name":"Muhammad Faheem","email":"","orcid":"","institution":"Ghazi University D G","correspondingAuthor":false,"prefix":"","firstName":"Muhammad","middleName":"","lastName":"Faheem","suffix":""},{"id":313868677,"identity":"81bdc0ce-846e-49bd-bdf2-90b497ed2c82","order_by":2,"name":"Aqeel Ahmad","email":"","orcid":"","institution":"Ghazi University D G","correspondingAuthor":false,"prefix":"","firstName":"Aqeel","middleName":"","lastName":"Ahmad","suffix":""},{"id":313868678,"identity":"494d7f60-c227-495d-aaab-c1faf715b9ee","order_by":3,"name":"Muhammad Saeed Akram","email":"","orcid":"","institution":"Ghazi University D G","correspondingAuthor":false,"prefix":"","firstName":"Muhammad","middleName":"Saeed","lastName":"Akram","suffix":""},{"id":313868679,"identity":"c85544a7-412e-4d5f-9826-29eba29ad366","order_by":4,"name":"Evren Hincal","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA70lEQVRIiWNgGAWjYPCCAzxAgvHABwjPgGgtDAdnwLUkENYCJg/zEKOFXyL34eMChjsy5uyHHxy23WGT2MDevE2C8cc9nFokZ6QbG89geMZj2ZNmcDj3TFpiA8+xMgmGhGKcWgzOHGOT5gE6yeAGA1BL2+HEBokcM6AW3C6zP3OM/TdEC/uHw5Zt/xMb5N/g12LA3sbGDNHCY3CYse0A0BYe/FokjrcxSwMV8xicySk42NuWbNzGk1ZskZCGWwt/MxvjZ56Kw/YGx49vfPCzzU62n/3wxhsfbHBrgToPic0GIghpGAWjYBSMglGAHwAAu5VO5NpGP2QAAAAASUVORK5CYII=","orcid":"","institution":"Mathematics Research Center, Near East University, Near East Boulevard, Nicosia North Cyprus, 99138","correspondingAuthor":true,"prefix":"","firstName":"Evren","middleName":"","lastName":"Hincal","suffix":""}],"badges":[],"createdAt":"2024-06-10 06:12:00","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4556077/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4556077/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":58957885,"identity":"05b8c2ad-cb2c-4603-a647-f53e81807dc3","added_by":"auto","created_at":"2024-06-24 15:21:31","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":840144,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4556077/v1_covered_f6f1b70a-d0d7-491a-8382-5b5d6a162b24.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Analysis and control of new invariant JN.1 under generalized incidence rate for low immune: Mathematical modeling and bifurcation","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"annals-of-global-analysis-and-geometry","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"agag","sideBox":"Learn more about [Annals of Global Analysis and Geometry](http://link.springer.com/journal/10455)","snPcode":"10455","submissionUrl":"https://submission.nature.com/new-submission/10455/3","title":"Annals of Global Analysis and Geometry","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Mittag-Leffler Kernel, Uniqueness, Global Stability, Effect of Global derivative, Bifurcation","lastPublishedDoi":"10.21203/rs.3.rs-4556077/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4556077/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe goal of this study is to analyze and control the new variant JN.1 under generalized incidence rate for low immune individuals by taking combine measures of vaccination as well as quarantine. 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The bounded approximate solutions for new invariant JN.1 derived sing Mittag-Leffler kernel with fractal fractional operator for continuous monitoring. Simulations are derived using MATLAB coding to observe the real impact of spread as well as control of virus caused by new variant JN.1 with generalized incidence rate, a variety of factors are imposed with constant monitoring. To observe the asymptomatic and symptomatic consequences of the corona virus illness under new variant JN.1, simulations are developed with combine actions of vaccination as well as quarantine effects for low immunity people to capture the disease’s true behavior. 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