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Fractal fractional based transmission dynamics of COVID-19 epidemic model

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  • Peijiang Liu
  • Mati ur Rahman
  • Anwarud Din

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.

Suggested Citation

  • Peijiang Liu & Mati ur Rahman & Anwarud Din, 2022. "Fractal fractional based transmission dynamics of COVID-19 epidemic model," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 25(16), pages 1852-1869, December.
    • Handle: RePEc:taf:gcmbxx:v:25:y:2022:i:16:p:1852-1869
    DOI: 10.1080/10255842.2022.2040489
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    Cited by:

    1. Xuan Leng & Asad Khan & Anwarud Din, 2023. "Probability Analysis of a Stochastic Non-Autonomous SIQRC Model with Inference," Mathematics, MDPI, vol. 11(8), pages 1-18, April.

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