用Tw对水痘-带状疱疹病毒进行A - B - C分数阶导数

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Jirong Yang, F. Afzal, Perpetual Appiah
{"title":"用Tw对水痘-带状疱疹病毒进行A - B - C分数阶导数","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":"{\"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}","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

摘要

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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A B C Fractional Derivative for Varicella-Zoster Virus Using Tw
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信