Dynamical Analysis of Infectious Disease Models Considering Awareness Factors and Neural Network Numerical Simulation

Dynamical Analysis of Infectious Disease Models Considering Awareness Factors and Neural Network Numerical Simulation | 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 Article Dynamical Analysis of Infectious Disease Models Considering Awareness Factors and Neural Network Numerical Simulation Minghao Song, Hua Liu, Jingyan Ma, Kai Zhang, Qibin Zhang, Yumei Wei This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9540925/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 7 You are reading this latest preprint version Abstract The media coverage plays a crucial role in the spread of infectious diseases. In this paper, we establish a dynamic model that accounts for media transmission based on the traditional SIR framework, and classify the susceptible population into two categories: "aware" and "unaware". The dynamic behavior of the system in different parameter intervals is revealed by combining equilibrium point and stability analysis. Theoretical analysis shows that media intervention can effectively reduce R_0 , significantly delay and weaken the epidemic infection peak. Physics-informed neural network (PINN) is adopted for numerical simulation and parameter inversion, with three improvements proposed: Under data constraints, the Euler method and Runge-Kutta method (RK4) were compared; the network depth was deepened, the residual mechanism and Highway network were introduced, and the ResHighway network was constructed. In summary, this study reveals the inhibitory effect of media coverage on epidemic transmission from both theoretical and algorithmic perspectives, and proposes a PINN framework combining high-order numerical schemes with deep network structures. Biological sciences/Computational biology and bioinformatics Health sciences/Diseases Physical sciences/Mathematics and computing Physical sciences/Physics Media coverage SIR model Infectious disease dynamics PINN Residual networks Highway networks Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 22 May, 2026 Reviewers agreed at journal 07 May, 2026 Reviewers invited by journal 07 May, 2026 Editor assigned by journal 07 May, 2026 Editor invited by journal 05 May, 2026 Submission checks completed at journal 04 May, 2026 First submitted to journal 04 May, 2026 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-9540925","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":641522272,"identity":"ca45ddc5-35c5-4ebc-8296-2f1a7fb1bec3","order_by":0,"name":"Minghao Song","email":"","orcid":"","institution":"Northwest Minzu University","correspondingAuthor":false,"prefix":"","firstName":"Minghao","middleName":"","lastName":"Song","suffix":""},{"id":641522276,"identity":"6939119a-721f-4f8d-a447-f756e15be6f2","order_by":1,"name":"Hua Liu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAt0lEQVRIiWNgGAWjYBACxgbmNoYPDAfAHAkitTC2Mc4gSQtQUxszD0lamPsPtj22bbsTbXCA+eBtHga7PMJ2zEhsN8458yx3wwG2ZGsehuRiIrQwtknnVBwGauExkwa6MLGBoBagw6QtDEBa+L8RqaUhsU2aAWILG5FaZiS2SfYA/TLzMJux5RyDZMJaDPsPH5P42XYnt+9488MbbyrsiNACV8EMIgwIqQcCeSLUjIJRMApGwUgHAI3RP1N39yQdAAAAAElFTkSuQmCC","orcid":"","institution":"Northwest Minzu University","correspondingAuthor":true,"prefix":"","firstName":"Hua","middleName":"","lastName":"Liu","suffix":""},{"id":641522278,"identity":"788761ff-5c9f-49b9-9f15-64c177006d86","order_by":2,"name":"Jingyan Ma","email":"","orcid":"","institution":"Northwest Minzu University","correspondingAuthor":false,"prefix":"","firstName":"Jingyan","middleName":"","lastName":"Ma","suffix":""},{"id":641522282,"identity":"252650fc-3309-49e0-b968-0350737d9a4d","order_by":3,"name":"Kai Zhang","email":"","orcid":"","institution":"Northwest Minzu University","correspondingAuthor":false,"prefix":"","firstName":"Kai","middleName":"","lastName":"Zhang","suffix":""},{"id":641522283,"identity":"e41e9533-d828-4cc5-bb14-97980693e7b5","order_by":4,"name":"Qibin Zhang","email":"","orcid":"","institution":"Gansu high-tech teaching department","correspondingAuthor":false,"prefix":"","firstName":"Qibin","middleName":"","lastName":"Zhang","suffix":""},{"id":641522284,"identity":"70c058d4-728e-49c2-879d-1526448d7d92","order_by":5,"name":"Yumei Wei","email":"","orcid":"","institution":"Northwest Minzu University","correspondingAuthor":false,"prefix":"","firstName":"Yumei","middleName":"","lastName":"Wei","suffix":""}],"badges":[],"createdAt":"2026-04-27 11:23:54","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9540925/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9540925/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":109759775,"identity":"686c1f58-fc40-4550-89c6-5e7e9e439421","added_by":"auto","created_at":"2026-05-22 07:27:40","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1118516,"visible":true,"origin":"","legend":"","description":"","filename":"SongManuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9540925/v1_covered_4fbae10c-0411-403a-90fa-8a5f9d962048.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamical Analysis of Infectious Disease Models Considering Awareness Factors and Neural Network Numerical Simulation","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":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Media coverage, SIR model, Infectious disease dynamics, PINN, Residual networks, Highway networks","lastPublishedDoi":"10.21203/rs.3.rs-9540925/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9540925/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The media coverage plays a crucial role in the spread of infectious diseases. 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