On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative
On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative
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DOI：
10.1016/j.chaos.2020.109867
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发表时间：
2020-06-01
影响因子：
7.8
通讯作者：
Panchal, Satish K.
中科院分区：
文献类型：
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作者：
Abdo, Mohammed S.;Shah, Kamal;Panchal, Satish K.
本研究的主要目的是分析并找到描述致命且最危险的冠状病毒（COVID-19）的非线性分数阶微分方程（FDE）模型的解。提出了依赖于14个非线性FDE的数学模型，并应用分数Adams Bashforth（AB）方法研究了相应的数值结果。此外，为了更有效地实现，应用了最近引入的分数非局部算子，称为 Atangana-Baleanu (AB)。目前的结果采用了Krasnoselskii和Banach的不动点定理来证明模型的存在性、唯一性和稳定性。对于数值模拟，近似解的行为通过各种分数阶以图形形式呈现。最后，对模拟的结论进行了简要讨论，以描述感染的传播动态如何在社会中发生。 (C) 2020 Elsevier Ltd. 保留所有权利。
The major purpose of the presented study is to analyze and find the solution for the model of nonlinear fractional differential equations (FDEs) describing the deadly and most parlous virus so-called coronavirus (COVID-19). The mathematical model depending of fourteen nonlinear FDEs is presented and the corresponding numerical results are studied by applying the fractional Adams Bashforth (AB) method. Moreover, a recently introduced fractional nonlocal operator known as Atangana-Baleanu (AB) is applied in order to realize more effectively. For the current results, the fixed point theorems of Krasnoselskii and Banach are hired to present the existence, uniqueness as well as stability of the model. For numerical simulations, the behavior of the approximate solution is presented in terms of graphs through various fractional orders. Finally, a brief discussion on conclusion about the simulation is given to describe how the transmission dynamics of infection take place in society. (C) 2020 Elsevier Ltd. All rights reserved.