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.
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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