Dynamic Analysis of Threshold and Seasonal Impact in the SVEIRL Influenza Model

Dynamic Analysis of Threshold and Seasonal Impact in the SVEIRL Influenza Model | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 13 September 2025 V1 Latest version Share on Dynamic Analysis of Threshold and Seasonal Impact in the SVEIRL Influenza Model Authors : Ting Wang and Yunhu Zhang 0000-0002-2363-1505 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175774878.83157386/v1 119 views 81 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper, a periodic seasonal influenza SVEIRL model is constructed to explore the mechanism by which seasonal influenza factors exert social impacts. Through dynamic analysis of the model and verification via numerical simulations, it is revealed that seasonal factors exhibit a significant positive correlation with both the basic reproduction number and the final epidemic scale. Using surveillance data from institutions including the Chinese National Influenza Center and the Public Health Science, the model is applied to simulate the trends of influenza epidemic in China. Under multi-dimensional scenarios that include different years, provinces, influenza subtypes, and the proportion of influenza-like cases in northern and southern regions of China, approximate values of seasonal factors for each scenario are calculated using methods such as genetic algorithms and parameter fitting. The findings reaffirm that the intensity of seasonal factors is positively correlated with the scale of influenza epidemics. Supplementary Material File (seasonal flu.pdf) Download 1.28 MB Information & Authors Information Version history V1 Version 1 13 September 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords final epidemic size periodicity seasonal influenza sveirl model threshold dynamics Authors Affiliations Ting Wang Lanzhou University of Technology View all articles by this author Yunhu Zhang 0000-0002-2363-1505 [email protected] Lanzhou University of Technology View all articles by this author Metrics & Citations Metrics Article Usage 119 views 81 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Ting Wang, Yunhu Zhang. Dynamic Analysis of Threshold and Seasonal Impact in the SVEIRL Influenza Model. Authorea . 13 September 2025. DOI: https://doi.org/10.22541/au.175774878.83157386/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. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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