Thabet Sabri T M, Abdo Mohammed S, Shah Kamal, Abdeljawad Thabet
Department of Mathematics, University of Aden, Aden, Yemen.
Department of Mathematics, Hodeidah University, Al-Hodeidah, Yemen.
Results Phys. 2020 Dec;19:103507. doi: 10.1016/j.rinp.2020.103507. Epub 2020 Oct 12.
The current research work is devoted to address some results related to the existence and stability as well as numerical finding of a novel Coronavirus disease (COVID-19) by using a mathematical model. By using fixed point results we establish existence results for the proposed model under Atangana-Baleanu-Caputo (ABC) derivative with fractional order. Further, using the famous numerical technique due to Adams Bashforth, we simulate the concerned results for two famous cities of China known as Wuhan and Huanggang which are interconnected cities. The graphical presentations are given to observe the transmission dynamics from February 1 a=2020 to April 20, 2020 through various fractional order. The concerned dynamics is global in nature due to the various values of fractional order.
当前的研究工作致力于通过使用数学模型来解决与新型冠状病毒病（COVID-19）的存在性、稳定性以及数值求解相关的一些结果。通过使用不动点结果，我们在分数阶的阿坦加纳 - 巴莱努 - 卡普托（ABC）导数下建立了所提出模型的存在性结果。此外，使用著名的亚当斯 - 巴什福斯数值技术，我们对中国两个相互关联的著名城市武汉和黄冈的相关结果进行了模拟。给出了图形展示，以观察从2020年2月1日到2020年4月20日通过各种分数阶的传播动态。由于分数阶的各种值，相关动态在本质上是全局的。
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