{"title":"On a Fractal–Fractional-Based Modeling for Influenza and Its Analytical Results","authors":"","doi":"10.1007/s12346-023-00918-5","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>There have been reports of influenza virus resistance in the past, and because this virus has the potential of resistance to cause several pandemics and also is lethal, we investigate the conditions under which the strains coexist as a result. The non-resistant strain undergoes mutation, giving rise to the resistant strain. The incidence rates of the non-resistant and saturated-resistant strains are bi-linear and saturated, respectively. In this study, two flu strain models (resistant and non-resistant) are investigated in a fractal–fractional sense, and the presence of solutions, stability, and numerical simulations are examined for various orders and derivative dimensions. Using numerical values from freely accessible open resources, a numerical technique that is based on Lagrange’s interpolation polynomial is constructed and validated for a particular example.</p>","PeriodicalId":48886,"journal":{"name":"Qualitative Theory of Dynamical Systems","volume":"5 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Qualitative Theory of Dynamical Systems","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12346-023-00918-5","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
There have been reports of influenza virus resistance in the past, and because this virus has the potential of resistance to cause several pandemics and also is lethal, we investigate the conditions under which the strains coexist as a result. The non-resistant strain undergoes mutation, giving rise to the resistant strain. The incidence rates of the non-resistant and saturated-resistant strains are bi-linear and saturated, respectively. In this study, two flu strain models (resistant and non-resistant) are investigated in a fractal–fractional sense, and the presence of solutions, stability, and numerical simulations are examined for various orders and derivative dimensions. Using numerical values from freely accessible open resources, a numerical technique that is based on Lagrange’s interpolation polynomial is constructed and validated for a particular example.
期刊介绍：
Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.
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