Analytical and Numerical investigation of a Mathematical Model for Ebola Virus Dynamics

Analytical and Numerical investigation of a Mathematical Model for Ebola Virus Dynamics | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 14 January 2026 V1 Latest version Share on Analytical and Numerical investigation of a Mathematical Model for Ebola Virus Dynamics Authors : Priya Agarwal , RAVI DUBEY 0000-0002-3019-4438 [email protected] , and Murli Manohar Gaur Authors Info & Affiliations https://doi.org/10.22541/au.176841917.77768612/v1 157 views 95 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Ebola Virus Disease (EVD) remains a major global health concern due to its high fatality rate and rapid transmission, particularly in resource limited regions. In this study, we investigate the dynamics of EVD transmission using a fractional-order SIRD model incorporating the Atangana–Baleanu–Caputo (ABC) derivative to capture memory-dependent behaviors inherent in infectious processes. The defined model based on fractional calculus provide a more accurate description of temporal dynamics by integrating nonlocal and nonsingular kernels. That model is biologically more realistic than classical integer-order formulations. We use the Homotopy Perturbation Method (HPM) to provide a reliable and efficient means to handle the nonlinear structure. Theoretical analysis of the model includes existence and uniqueness of the solution using fixed point theory. Furthermore, the basic reproduction number is derived through the next-generation matrix approach to assess threshold behavior and local stability of the disease free equilibrium. We use graphical simulations in Mathematica, based on varying fractional orders and key epidemiological parameters, offer insights into the impact of memory effects on disease progression. The suggested model architecture allows better forecasting for managing the Ebola outbreak and exhibits increased analytical integrity. Supplementary Material File (investigation_of_mathematical_model_for_ebola_virus_using_abc (6).pdf) Download 838.65 KB Information & Authors Information Version history V1 Version 1 14 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords atangana–baleanu derivative existence and uniqueness homotopy perturbation method reproduction number Authors Affiliations Priya Agarwal Amity University Rajasthan View all articles by this author RAVI DUBEY 0000-0002-3019-4438 [email protected] Amity University Rajasthan Imam Muhammad Ibn Saud Islamic University View all articles by this author Murli Manohar Gaur Vivekananda Global University View all articles by this author Metrics & Citations Metrics Article Usage 157 views 95 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Priya Agarwal, RAVI DUBEY, Murli Manohar Gaur. Analytical and Numerical investigation of a Mathematical Model for Ebola Virus Dynamics. Authorea . 14 January 2026. DOI: https://doi.org/10.22541/au.176841917.77768612/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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