Dynamic Behavior and Sliding Mode Control Strategy Design for a SIR Epidemic Model Based on Fast-Slow System Framework

Dynamic Behavior and Sliding Mode Control Strategy Design for a SIR Epidemic Model Based on Fast-Slow System Framework | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 24 July 2025 V1 Latest version Share on Dynamic Behavior and Sliding Mode Control Strategy Design for a SIR Epidemic Model Based on Fast-Slow System Framework Authors : Shihao Zhang 0009-0009-8098-6941 and Yue Zhang [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175338553.39007845/v1 190 views 117 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper, a class of SIR epidemic model with alertness and a nonlinear incidence rate is studied. A fast-slow system of the epidemic model is constructed, and various dynamical phenomena of the fast-slow system are analyzed. With the variation of bifurcation parameters, phenomena such as singular Hopf bifurcation, canard explosion, and relaxation oscillations are generated. The relaxation oscillation phenomenon implies that the epidemic will experience periodic large-scale outbreaks. To prevent this, a singular fuzzy adaptive sliding mode controller is designed, and an observer is introduced to monitor the epidemic status and provide real-time feedback. Numerical simulations verify the correctness of the theoretical analysis and the effectiveness of the controller. Supplementary Material File (paper.pdf) Download 731.31 KB Information & Authors Information Version history V1 Version 1 24 July 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords adaptive sliding mode controller fast-slow system relaxation oscillation sir epidemic model sliding mode observer Authors Affiliations Shihao Zhang 0009-0009-8098-6941 Northeastern University College of Sciences View all articles by this author Yue Zhang [email protected] Northeastern University College of Sciences View all articles by this author Metrics & Citations Metrics Article Usage 190 views 117 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Shihao Zhang, Yue Zhang. Dynamic Behavior and Sliding Mode Control Strategy Design for a SIR Epidemic Model Based on Fast-Slow System Framework. Authorea . 24 July 2025. DOI: https://doi.org/10.22541/au.175338553.39007845/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. 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