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新型冠状病毒(COVID-19)的分数阶数学建模

Fractional order mathematical modeling of novel corona virus (COVID-19).

作者信息

Ahmad Wasim, Sarwar Muhammad, Shah Kamal, Ahmadian Ali, Salahshour Soheil

机构信息

Department of Mathematics University of Malakand Chakdara Dir(L) Pakistan.

Institute of IR 4.0 The National University of Malaysia Bangi Malaysia.

出版信息

Math Methods Appl Sci. 2021 Feb 3. doi: 10.1002/mma.7241.

DOI:10.1002/mma.7241
PMID:33821069
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8014619/
Abstract

In this manuscript, the mathematical model of COVID-19 is considered with eight different classes under the fractional-order derivative in Caputo sense. A couple of results regarding the existence and uniqueness of the solution for the proposed model is presented. Furthermore, the fractional-order Taylor's method is used for the approximation of the solution of the concerned problem. Finally, we simulate the results for 50 days with the help of some available data for fractional differential order to display the excellency of the proposed model.

摘要

在本手稿中,考虑了在Caputo意义下具有分数阶导数的新冠肺炎数学模型,该模型有八个不同的类别。给出了关于所提模型解的存在性和唯一性的一些结果。此外,分数阶泰勒方法用于逼近相关问题的解。最后,我们借助一些分数阶微分阶次的可用数据对结果进行了50天的模拟,以展示所提模型的优越性。

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