Fractal fractional based transmission dynamics of COVID-19 epidemic model

被引：28
|
作者：
Liu, Peijiang [1 ,2 ]
Rahman, Mati ur [3 ]
Din, Anwarud [4 ]
机构：
[1] Guangdong Univ Finance & Econ, Sch Stat & Math, Big Data & Educ Stat Applicat Lab, Guangzhou, Peoples R China
[2] Guangdong Univ Finance & Econ, Sch Stat & Math, Guangzhou, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai, Peoples R China
[4] Sun Yat Sen Univ, Dept Math, Guangzhou, Peoples R China
来源：
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING | 2022年 / 25卷 / 16期
关键词：
COVID-19 epidemic model; fractal-fractional order problem; stability analysis; real statistic; Iterative technique of Adams-Bashforth; newton polynomial;
D O I：
10.1080/10255842.2022.2040489
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We investigate the dynamical behavior of Coronavirus (COVID-19) for different infections phases and multiple routes of transmission. In this regard, we study a COVID-19 model in the context of fractal-fractional order operator. First, we study the COVID-19 dynamics with a fractal fractional-order operator in the framework of Atangana-Baleanu fractal-fractional operator. We estimated the basic reduction number and the stability results of the proposed model. We show the data fitting to the proposed model. The system has been investigated for qualitative analysis. Novel numerical methods are introduced for the derivation of an iterative scheme of the fractal-fractional Atangana-Baleanu order. Finally, numerical simulations are performed for various orders of fractal-fractional dimension.
引用
收藏
页码：1852 / 1869
页数：18
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