通过阿坦加纳-巴莱阿努分式衍生物分析 Covid-19 的传播情况

Qeios Pub Date : 2024-03-19 DOI:10.32388/d7u6ud
M. A. Zaitri, Naas Adjimi
{"title":"通过阿坦加纳-巴莱阿努分式衍生物分析 Covid-19 的传播情况","authors":"M. A. Zaitri, Naas Adjimi","doi":"10.32388/d7u6ud","DOIUrl":null,"url":null,"abstract":"We study the spread of the epidemic via Atangana-Baleanu Fractional Derivatives. We present the mathematical analysis and formulation of a fractional model for the epidemic. The existence and uniqueness of the solution for the proposed model are proved. The study also investigates the existence of disease-free equilibrium and analyzes its stability properties. To validate the theoretical results, we provide a numerical scheme for the fractional model and present various simulation results. These results can serve as a valuable resource in developing strategies to mitigate the spread of the epidemic.\n","PeriodicalId":500839,"journal":{"name":"Qeios","volume":"132 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of the Spread of Covid-19 via Atangana-Baleanu Fractional Derivatives\",\"authors\":\"M. A. Zaitri, Naas Adjimi\",\"doi\":\"10.32388/d7u6ud\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the spread of the epidemic via Atangana-Baleanu Fractional Derivatives. We present the mathematical analysis and formulation of a fractional model for the epidemic. The existence and uniqueness of the solution for the proposed model are proved. The study also investigates the existence of disease-free equilibrium and analyzes its stability properties. To validate the theoretical results, we provide a numerical scheme for the fractional model and present various simulation results. These results can serve as a valuable resource in developing strategies to mitigate the spread of the epidemic.\\n\",\"PeriodicalId\":500839,\"journal\":{\"name\":\"Qeios\",\"volume\":\"132 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Qeios\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.32388/d7u6ud\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Qeios","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.32388/d7u6ud","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

我们通过阿坦加纳-巴莱阿努分式导数研究了流行病的传播。我们介绍了该流行病分数模型的数学分析和公式。证明了所提模型解的存在性和唯一性。研究还探讨了无疾病平衡的存在性,并分析了其稳定性。为了验证理论结果,我们提供了分数模型的数值方案,并给出了各种模拟结果。这些结果可作为制定战略以缓解流行病传播的宝贵资源。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Analysis of the Spread of Covid-19 via Atangana-Baleanu Fractional Derivatives
We study the spread of the epidemic via Atangana-Baleanu Fractional Derivatives. We present the mathematical analysis and formulation of a fractional model for the epidemic. The existence and uniqueness of the solution for the proposed model are proved. The study also investigates the existence of disease-free equilibrium and analyzes its stability properties. To validate the theoretical results, we provide a numerical scheme for the fractional model and present various simulation results. These results can serve as a valuable resource in developing strategies to mitigate the spread of the epidemic.
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
自引率
0.00%
发文量
0
期刊最新文献
wtwtw Analysing the Automation of Artificial Knowledge in Virology for Safety and Effectiveness in Healthcare: Equilibrium of Advancement and Trials for Secure and Productive Health Necessities Analysis of Factors Influencing Health and Safety Programmes in Selected Electricity Distribution Companies A Balance Between Tradition and Innovation: A Review of Teaching Methodologies in Modern Sunday Schools Review of: "Recycling of waste bamboo (Bambusa Vulgaris) into value-added platform chemicals: Bioethanol and Bioethylene"
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1