Global dynamics for a class of nonautonomous mosquito models with time delay and switching control strategy

Global dynamics for a class of nonautonomous mosquito models with time delay and switching control strategy | 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 Global dynamics for a class of nonautonomous mosquito models with time delay and switching control strategy Qingwen Yu, Dongshu Wang, Yaqiong Cheng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6056929/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 10 May, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted 13 You are reading this latest preprint version Abstract Mosquitoes serve as the primary vectors for several life-threatening pathogens, including malaria, dengue fever, and Zika virus. To effectively control the transmission of these diseases, a variety of integrated vector management strategies are currently employed to reduce mosquito population densities. This paper focuses on the sterile insect technique (SIT) and incompatible insect technique (IIT), which involves the release of sterile male mosquitoes to suppress wild mosquito populations, and delves into the impact of different release strategies on mosquito population dynamics. We established a switched mosquito population suppression model with time delay. We first investigate the existence and stability of the switching ordinary differential equation model, and derive some criteria for determining whether T-periodic solutions are stable or unstable. By taking the initial function as a solution to the delay-free model, we obtain sufficient conditions for existence of a unique or exactly two periodic solutions. Furthermore, we gain necessary and sufficient conditions for nonexis-tence of periodic solutions. Finally, the numerical results have been shown to further highlighted the effectiveness of our proposed model. Time delay Switching dynamical systems Density dependence Stability Mosquito population suppresion Periodic solutions Sterile mosquitoes Full Text Additional Declarations No competing interests reported. Supplementary Files ND.zip Cite Share Download PDF Status: Published Journal Publication published 10 May, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 25 Mar, 2025 Reviews received at journal 22 Mar, 2025 Reviews received at journal 22 Mar, 2025 Reviews received at journal 19 Mar, 2025 Reviewers agreed at journal 01 Mar, 2025 Reviewers agreed at journal 25 Feb, 2025 Reviewers agreed at journal 24 Feb, 2025 Reviewers agreed at journal 24 Feb, 2025 Reviewers agreed at journal 24 Feb, 2025 Reviewers invited by journal 24 Feb, 2025 Editor assigned by journal 21 Feb, 2025 Submission checks completed at journal 19 Feb, 2025 First submitted to journal 18 Feb, 2025 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-6056929","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":418863931,"identity":"0cf59cb8-39d8-4173-a957-c9d5cbfca454","order_by":0,"name":"Qingwen Yu","email":"","orcid":"","institution":"Huaqiao University","correspondingAuthor":false,"prefix":"","firstName":"Qingwen","middleName":"","lastName":"Yu","suffix":""},{"id":418863932,"identity":"b141812a-2da6-4bc8-8ed2-8c9c4fbb0e44","order_by":1,"name":"Dongshu Wang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAqElEQVRIiWNgGAWjYFCCBCD6YcPDz99AipaPPWkykjMOkKCFcQbbYRuDhgQiNRgcT3/AzMNznseA4QDjh485xGg588aAmcfiNo85cwOz5MxtRGgxu5HD/puH5zaPZcMBNmZe4rSAHMZ2jsfgQALRWhIMgN4/QIIWe6BfgIGczCM542AzcX6RbE9/AIxKO3t+/uaDHz4SowUJMDaQpn4UjIJRMApGAW4AAJ6oNUX9vRTLAAAAAElFTkSuQmCC","orcid":"","institution":"Huaqiao University","correspondingAuthor":true,"prefix":"","firstName":"Dongshu","middleName":"","lastName":"Wang","suffix":""},{"id":418863933,"identity":"afe34d3d-da51-4f3e-ae64-b9de55080991","order_by":2,"name":"Yaqiong Cheng","email":"","orcid":"","institution":"Quanzhou Medical Vocational College","correspondingAuthor":false,"prefix":"","firstName":"Yaqiong","middleName":"","lastName":"Cheng","suffix":""}],"badges":[],"createdAt":"2025-02-18 14:08:22","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6056929/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6056929/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-025-11239-4","type":"published","date":"2025-05-10T15:57:06+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":82537593,"identity":"0d02807f-7c59-4641-b532-aa9eab960969","added_by":"auto","created_at":"2025-05-12 16:09:02","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1025601,"visible":true,"origin":"","legend":"","description":"","filename":"ND2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6056929/v1_covered_4f369266-cabf-428f-afa5-a31786a4bb51.pdf"},{"id":77042324,"identity":"76c0f2c4-5ec4-4eeb-a89b-c8a12d945c66","added_by":"auto","created_at":"2025-02-24 14:16:16","extension":"zip","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":2248993,"visible":true,"origin":"","legend":"","description":"","filename":"ND.zip","url":"https://assets-eu.researchsquare.com/files/rs-6056929/v1/35f66f9cba650a46ed83659f.zip"}],"financialInterests":"No competing interests reported.","formattedTitle":"Global dynamics for a class of nonautonomous mosquito models with time delay and switching control strategy","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":false,"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":"Time delay, Switching dynamical systems, Density dependence, Stability, Mosquito population suppresion, Periodic solutions, Sterile mosquitoes","lastPublishedDoi":"10.21203/rs.3.rs-6056929/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6056929/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Mosquitoes serve as the primary vectors for several life-threatening pathogens, including malaria, dengue fever, and Zika virus. 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