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涉及阿尔茨海默病的新型冠状病毒动态变化的分数阶流行病学模型

Fractional order epidemiological model of SARS-CoV-2 dynamism involving Alzheimer's disease.

作者信息

Addai Emmanuel, Zhang Lingling, Preko Ama Kyerewaa, Asamoah Joshua Kiddy K

机构信息

Department of Mathematics, Taiyuan University of Technology, Shanxi Taiyuan 030024, PR China.

Department of Mathematics, Zhejiang Normal University, Zhejiang Jinhua, 321004, PR China.

出版信息

Healthc Anal (N Y). 2022 Nov;2:100114. doi: 10.1016/j.health.2022.100114. Epub 2022 Oct 1.

DOI:10.1016/j.health.2022.100114
PMID:37520617
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9525244/
Abstract

In this paper, we study a Caputo-Fabrizio fractional order epidemiological model for the transmission dynamism of the severe acute respiratory syndrome coronavirus 2 pandemic and its relationship with Alzheimer's disease. Alzheimer's disease is incorporated into the model by evaluating its relevance to the quarantine strategy. We use functional techniques to demonstrate the proposed model stability under the Ulam-Hyres condition. The Adams-Bashforth method is used to determine the numerical solution for our proposed model. According to our numerical results, we notice that an increase in the quarantine parameter has minimal effect on the Alzheimer's disease compartment.

摘要

在本文中,我们研究了一个用于严重急性呼吸综合征冠状病毒2大流行传播动态及其与阿尔茨海默病关系的Caputo-Fabrizio分数阶流行病学模型。通过评估阿尔茨海默病与检疫策略的相关性将其纳入模型。我们使用泛函技术来证明所提出的模型在乌拉姆-海尔斯条件下的稳定性。采用亚当斯-巴什福思方法来确定我们所提出模型的数值解。根据我们的数值结果,我们注意到检疫参数的增加对阿尔茨海默病隔室的影响最小。

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Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative.利用 Caputo-Fabrizio 分数阶导数对印度 COVID-19 大流行进行数学建模。
Comput Biol Med. 2022 Jun;145:105518. doi: 10.1016/j.compbiomed.2022.105518. Epub 2022 Apr 14.
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Analysis of fractional COVID-19 epidemic model under Caputo operator.基于卡普托算子的新型冠状病毒肺炎疫情分数阶模型分析
Math Methods Appl Sci. 2021 Mar 25. doi: 10.1002/mma.7294.
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Emerging COVID-19 Neurological Manifestations: Present Outlook and Potential Neurological Challenges in COVID-19 Pandemic.新型冠状病毒肺炎相关神经系统表现:目前的认识及新冠大流行期间的潜在神经学挑战。
Mol Neurobiol. 2021 Sep;58(9):4694-4715. doi: 10.1007/s12035-021-02450-6. Epub 2021 Jun 24.
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Mathematical modeling of coronavirus disease COVID-19 dynamics using CF and ABC non-singular fractional derivatives.使用CF和ABC非奇异分数阶导数对冠状病毒病COVID-19动态进行数学建模。
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