ABO血型背景下分数阶COVID-19大流行传播模型的数值研究
Numerical study of fractional order COVID-19 pandemic transmission model in context of ABO blood group.
作者信息
Higazy M, Allehiany F M, Mahmoud Emad E
机构信息
Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt.
出版信息
Results Phys. 2021 Mar;22:103852. doi: 10.1016/j.rinp.2021.103852. Epub 2021 Jan 25.
The worldwide association of health (WHO) has stated that COVID-19 (the novel coronavirus disease-2019) as a pandemic. Here, the common SEIR model is generalized in order to show the dynamics of COVID-19 transmission taking into account the ABO blood group of the infected people. Fractional order Caputo derivative are used in the proposed model. Our study is guided by the results that have been obtained by Chen J, Fan H, Zhang L, et al. from three unique medical clinics in Wuhan and Shenzhen, China. In this study, the feasibility region of the proposed model are calculated plus the points of equilibrium. Also, the equilibrium points stability is examined. A unique solution existence for the proposed paradigm is proved via utilizing the fixed point theory with regards to Caputo fractional derivative. Numerical experiments of the proposed paradigm is done and we show its sensitivity to the fractional order.
世界卫生组织（WHO）已宣布新型冠状病毒肺炎（COVID-19，即2019年新型冠状病毒病）为大流行病。在此，对常见的SEIR模型进行推广，以考虑感染者的ABO血型来展示COVID-19传播的动态情况。所提出的模型中使用了分数阶Caputo导数。我们的研究以陈J、范H、张L等人在中国武汉和深圳的三家独特医疗诊所所获得的结果为指导。在本研究中，计算了所提出模型的可行域以及平衡点。此外，还检验了平衡点的稳定性。通过利用关于Caputo分数导数的不动点理论，证明了所提出范式存在唯一解。对所提出的范式进行了数值实验，并展示了其对分数阶的敏感性。
Zotero 插件