Analysis of an age-structured tuberculosis model with the latent period of two stages

Analysis of an age-structured tuberculosis model with the latent period of two stages | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 4 January 2026 V1 Latest version Share on Analysis of an age-structured tuberculosis model with the latent period of two stages Author : Chunke Shen 0009-0000-3592-3866 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176752994.41046206/v1 122 views 94 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Since people with other chronic diseases will shorten the incubation period of TB, which means that their immune capacity is weaker and they are more susceptible to infection, this article considers dividing the incubation period into two stages: fast and slow. Furthermore, this paper also takes into account the influence of latent age in the transmission of TB. By analyzing the existence of equilibrium points, the asymptotic smoothness of solutions, and the uniform persistence of the system, based on the definition of the basic reproduction number, this paper verifies the local and global asymptotic stability of the system. Supplementary Material File (shenchunke.pdf) Download 322.45 KB Information & Authors Information Version history V1 Version 1 04 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords asymptotic smoothness incomplete treatment latent age uniform persistence Authors Affiliations Chunke Shen 0009-0000-3592-3866 [email protected] Central China Normal University School of Mathematics and Statistics View all articles by this author Metrics & Citations Metrics Article Usage 122 views 94 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Chunke Shen. Analysis of an age-structured tuberculosis model with the latent period of two stages. Authorea . 04 January 2026. DOI: https://doi.org/10.22541/au.176752994.41046206/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 . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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