Critical mass curves for a short-rangedchemical signaling loop

Critical mass curves for a short-rangedchemical signaling loop | 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 Critical mass curves for a short-rangedchemical signaling loop Hao Yu, Bingqian Xue, Lifen Zhao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2602270/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 In this paper, we consider a two-species and two-stimuli chemotaxis system,in which the interactions of the two species form a short-ranged chemical signaling loop. We establish the critical mass curves for the system to distinguish the global boundedness and finite-time blow-up of solutions. 2020MSC: 35B44, 35K57, 35Q92, 92C17. chemotaxis system global boundedness blow-up critical mass Full Text Additional Declarations No competing interests reported. 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-2602270","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":177107743,"identity":"b80411be-41c8-40bd-8a6c-3264a8e79924","order_by":0,"name":"Hao Yu","email":"","orcid":"","institution":"Dalian Maritime University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Hao","middleName":"","lastName":"Yu","suffix":""},{"id":177107744,"identity":"0985f080-5f29-4785-b9b4-088ba5c55138","order_by":1,"name":"Bingqian Xue","email":"","orcid":"","institution":"Dalian Maritime University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Bingqian","middleName":"","lastName":"Xue","suffix":""},{"id":177107745,"identity":"3cdfd71d-5485-47b7-bbb6-4724c96e12e7","order_by":2,"name":"Lifen Zhao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVRIiWNgGAWjYDACCSB+YCDHwMDefPABgwGxWhIMjBkYeI4lG5CghQGoRSLHTIIod8nPbn74IKHAQM4cqKXyR8EdeQb2w0c34NPCOOeYsUGCgYGxZc+zsts8Bs8MG3jS0m7g08IskWAmkWDwJ3HD8eRttxkMDjM2SPCY4dXCJpH+DajFoH7DgQSzwh8Gh+0JauEB+RqoJcHgRIoZA4/B4USCWiQkcopBfjHccOZYsjRQS3IbIb/Iz0jf+ODDHwN5g+PNBz/++HPYtp/98DG8WrD4jjTlo2AUjIJRMAqwAQDYKEoMOL0LNAAAAABJRU5ErkJggg==","orcid":"","institution":"Second Affiliated Hospital of Dalian Medical University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Lifen","middleName":"","lastName":"Zhao","suffix":""}],"badges":[],"createdAt":"2023-02-18 13:59:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2602270/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2602270/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":33438250,"identity":"51a8f5d2-7e38-4e28-bfec-2ab4103daeeb","added_by":"auto","created_at":"2023-02-25 07:14:36","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":322344,"visible":true,"origin":"","legend":"","description":"","filename":"Criticalmasscurves.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2602270/v1_covered.pdf"},{"id":33218343,"identity":"5755f228-1025-4bd3-be34-02854e28799e","added_by":"auto","created_at":"2023-02-21 09:20:33","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":329375,"visible":true,"origin":"","legend":"","description":"","filename":"Criticalmasscurves.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2602270/v1/aaf22eb02a217b9a8b0ae45f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Critical mass curves for a short-rangedchemical signaling loop","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"chemotaxis system, global boundedness, blow-up, critical mass","lastPublishedDoi":"10.21203/rs.3.rs-2602270/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2602270/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this paper, we consider a two-species and two-stimuli chemotaxis system,in which the interactions of the two species form a short-ranged chemical signaling loop. 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