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关于分数阶2019新型冠状病毒动力学模型的一些新颖数学分析。

Some novel mathematical analysis on the fractional-order 2019-nCoV dynamical model.

作者信息

Owoyemi Abiodun Ezekiel, Sulaiman Ibrahim Mohammed, Kumar Pushpendra, Govindaraj Venkatesan, Mamat Mustafa

机构信息

Department of General Studies Federal College of Agricultural Produce Technology Kano Nigeria.

Institute of Strategic Industrial Decision Modelling (ISIDM), School of Quantitative Sciences Universiti Utara Malaysia Sintok 06010 Kedah Malaysia.

出版信息

Math Methods Appl Sci. 2022 Oct 4. doi: 10.1002/mma.8772.

DOI:10.1002/mma.8772
PMID:36714679
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9874666/
Abstract

Since December 2019, the whole world has been facing the big challenge of Covid-19 or 2019-nCoV. Some nations have controlled or are controlling the spread of this virus strongly, but some countries are in big trouble because of their poor control strategies. Nowadays, mathematical models are very effective tools to simulate outbreaks of this virus. In this research, we analyze a fractional-order model of Covid-19 in terms of the Caputo fractional derivative. First, we generalize an integer-order model to a fractional sense, and then, we check the stability of equilibrium points. To check the dynamics of Covid-19, we plot several graphs on the time scale of daily and monthly cases. The main goal of this content is to show the effectiveness of fractional-order models as compared to integer-order dynamics.

摘要

自2019年12月以来,全球一直面临着新冠病毒(Covid-19或2019-nCoV)带来的巨大挑战。一些国家已经有力地控制住了或正在控制这种病毒的传播,但一些国家由于其糟糕的防控策略而陷入了大麻烦。如今,数学模型是模拟这种病毒爆发的非常有效的工具。在这项研究中,我们根据卡普托分数阶导数分析了一个新冠病毒的分数阶模型。首先,我们将一个整数阶模型推广到分数意义上,然后,我们检查平衡点的稳定性。为了研究新冠病毒的动态,我们绘制了每日和每月病例时间尺度上的几张图表。本内容的主要目的是展示分数阶模型相对于整数阶动态的有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b8e/9874666/5af44d59c527/MMA-9999-0-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b8e/9874666/9a3d9a5e729f/MMA-9999-0-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b8e/9874666/f17d0034e0b3/MMA-9999-0-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b8e/9874666/5af44d59c527/MMA-9999-0-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b8e/9874666/9a3d9a5e729f/MMA-9999-0-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b8e/9874666/f17d0034e0b3/MMA-9999-0-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b8e/9874666/5af44d59c527/MMA-9999-0-g003.jpg

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本文引用的文献

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Results Phys. 2022 Aug;39:105630. doi: 10.1016/j.rinp.2022.105630. Epub 2022 May 30.
2
ABC Fractional Order Vaccination Model for Covid-19 with Self-Protective Measures.用于新冠疫情且带有自我防护措施的ABC分数阶疫苗接种模型
Int J Appl Comput Math. 2022;8(3):130. doi: 10.1007/s40819-022-01316-2. Epub 2022 May 12.
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A fractional-order mathematical model for COVID-19 outbreak with the effect of symptomatic and asymptomatic transmissions.
一种考虑有症状和无症状传播影响的COVID-19疫情的分数阶数学模型。
Eur Phys J Plus. 2022;137(3):395. doi: 10.1140/epjp/s13360-022-02603-z. Epub 2022 Mar 28.
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Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom.使用来自英国的真实数据对包含心脏病发作效应的奥密克戎SARS-CoV-2变体进行分数阶建模。
Chaos Solitons Fractals. 2022 Apr;157:111954. doi: 10.1016/j.chaos.2022.111954. Epub 2022 Feb 28.
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Fractional dynamical model to assess the efficacy of facemask to the community transmission of COVID-19.评估口罩对 COVID-19 社区传播效果的分数阶动力学模型。
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Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach.模拟克服新冠疫情爆发中的疫情防控措施:一种分数阶导数方法。
Chaos Solitons Fractals. 2022 Feb;155:111636. doi: 10.1016/j.chaos.2021.111636. Epub 2021 Nov 27.
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