On a partially degenerate West Nile virus model in closed advective environments

On a partially degenerate West Nile virus model in closed advective environments | 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 Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article On a partially degenerate West Nile virus model in closed advective environments Jie Xing, Hua Nie, Jianhua Wu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4599775/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 18 Dec, 2024 Read the published version in Zeitschrift für angewandte Mathematik und Physik → Version 1 posted 9 You are reading this latest preprint version Abstract To gain deeper insights into the impact of bird dispersal and advection on the spread of the West Nile virus, this study focuses on a partially degenerate reaction-diffusion model of the virus within closed advective environments with spatial heterogeneity. Initially, we define the basic reproduction number for this model and establish a threshold-type result based on it. Furthermore, we explore properties of the basic reproduction number concerning diffusion and advection rates by analyzing an eigenvalue problem involving weight and potential. The detailed dynamical classifications of such a model are delineated as the diffusion and advection rates vary. Theoretical and numerical results indicate that spatial heterogeneity, diffusion rate, advection rate and recovery rate of birds all significantly impact the survival or extinction of species. 2020MR Subject Classification: 35K55, 35B35, 92B05. West Nile virus model advective environments basic reproduction number stability dynamical classifications Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 18 Dec, 2024 Read the published version in Zeitschrift für angewandte Mathematik und Physik → Version 1 posted Editorial decision: Revision requested 11 Nov, 2024 Reviews received at journal 11 Nov, 2024 Reviews received at journal 05 Oct, 2024 Reviewers agreed at journal 20 Sep, 2024 Reviewers agreed at journal 02 Jul, 2024 Reviewers invited by journal 02 Jul, 2024 Editor assigned by journal 20 Jun, 2024 Submission checks completed at journal 20 Jun, 2024 First submitted to journal 18 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. 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