Fractal fractional based transmission dynamics of COVID-19 epidemic model

Peijiang Liu, Mati ur Rahman and Anwarud Din

Computer Methods in Biomechanics and Biomedical Engineering, 2022, vol. 25, issue 16, 1852-1869

Abstract: 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.

Date: 2022
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DOI: 10.1080/10255842.2022.2040489

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