{"title":"<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\n <mi mathvariant=\"script\">A</mi>\n <mi mathvariant=\"script\">B</mi>\n <mi mathvariant=\"script\">C</mi>\n </math> Fractional Derivative for Varicella-Zoster Virus Using Tw","authors":"Jirong Yang, F. Afzal, Perpetual Appiah","doi":"10.1155/2022/1725110","DOIUrl":null,"url":null,"abstract":"Chickenpox or varicella is an infectious disease caused by the varicella-zoster virus \n \n \n \n V\n Z\n V\n \n \n \n . This virus is the cause of chickenpox (usually a primary infection in the nonimmune host) and herpes zoster. In this paper, a compartmental model for the dynamics of \n \n V\n Z\n \n transmission with the effect of vaccination is solved using the \n \n A\n B\n C\n \n fractional derivative. The possibility of using the fractal dimension as a biomarker to identify different diseases is being investigated. The problem is investigated in two different levels of research using two scale dimensions. To ascertain the existence and uniqueness of the solution, we qualitatively evaluate the model. We have used the Euler method to compute the numerical solution for the system. At the end, we provide the graphical results showing the effectiveness of two-scale dimension and fractional calculus in the current model.","PeriodicalId":49111,"journal":{"name":"Advances in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1155/2022/1725110","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Chickenpox or varicella is an infectious disease caused by the varicella-zoster virus
V
Z
V
. This virus is the cause of chickenpox (usually a primary infection in the nonimmune host) and herpes zoster. In this paper, a compartmental model for the dynamics of
V
Z
transmission with the effect of vaccination is solved using the
A
B
C
fractional derivative. The possibility of using the fractal dimension as a biomarker to identify different diseases is being investigated. The problem is investigated in two different levels of research using two scale dimensions. To ascertain the existence and uniqueness of the solution, we qualitatively evaluate the model. We have used the Euler method to compute the numerical solution for the system. At the end, we provide the graphical results showing the effectiveness of two-scale dimension and fractional calculus in the current model.
水痘是由水痘-带状疱疹病毒V Z V引起的一种传染病。这种病毒是水痘（通常是非免疫宿主的原发性感染）和带状疱疹的病因。在本文中，使用a B C分数导数求解了具有疫苗接种效应的V Z传播动力学的房室模型。目前正在研究使用分形维数作为生物标志物来识别不同疾病的可能性。该问题在两个不同层次的研究中使用两个尺度维度进行了调查。为了确定解的存在性和唯一性，我们对模型进行了定性评估。我们已经使用欧拉方法来计算该系统的数值解。最后，我们提供了图形结果，显示了在当前模型中二维和分数演算的有效性。
期刊介绍：
Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike.
As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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