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关于涉及阿坦加纳-巴莱亚努分数阶导数的COVID-19动力学建模及基于多贝西框架小波模拟

On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations.

作者信息

Mohammad Mutaz, Trounev Alexander

机构信息

Zayed University, United Arab Emirates.

Kuban State Agrarian University, Russia.

出版信息

Chaos Solitons Fractals. 2020 Nov;140:110171. doi: 10.1016/j.chaos.2020.110171. Epub 2020 Jul 28.

Abstract

In this paper, we present a novel fractional order COVID-19 mathematical model by involving fractional order with specific parameters. The new fractional model is based on the well-known Atangana-Baleanu fractional derivative with non-singular kernel. The proposed system is developed using eight fractional-order nonlinear differential equations. The Daubechies framelet system of the model is used to simulate the nonlinear differential equations presented in this paper. The framelet system is generated based on the quasi-affine setting. In order to validate the numerical scheme, we provide numerical simulations of all variables given in the model.

摘要

在本文中,我们通过引入具有特定参数的分数阶,提出了一种新型的COVID-19分数阶数学模型。新的分数阶模型基于著名的具有非奇异核的阿坦加纳-巴莱亚努分数阶导数。所提出的系统是使用八个分数阶非线性微分方程开发的。该模型的Daubechies小波框架系统用于模拟本文中提出的非线性微分方程。小波框架系统是基于拟仿射设置生成的。为了验证数值方案,我们对模型中给出的所有变量进行了数值模拟。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/ed0194ff1eea/gr1_lrg.jpg

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