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A fractional order Covid-19 epidemic model with Mittag-Leffler kernel

Author

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  • Khan, Hasib
  • Ibrahim, Muhammad
  • Abdel-Aty, Abdel-Haleem
  • Khashan, M. Motawi
  • Khan, Farhat Ali
  • Khan, Aziz

Abstract

In this article, we are studying fractional-order COVID-19 model for the analytical and computational aspects. The model consists of five compartments including; ``Sc″ which denotes susceptible class, ``Ec″ represents exposed population, ``Ic″ is the class for infected people who have been developed with COVID-19 and can cause spread in the population. The recovered class is denoted by ``Rc″ and ``Vc″ is the concentration of COVID-19 virus in the area. The computational study shows us that the spread will be continued for long time and the recovery reduces the infection rate. The numerical scheme is based on the Lagrange’s interpolation polynomial and the numerical results for the suggested model are similar to the integer order which gives us the applicability of the numerical scheme and effectiveness of the fractional order derivative.

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  • Khan, Hasib & Ibrahim, Muhammad & Abdel-Aty, Abdel-Haleem & Khashan, M. Motawi & Khan, Farhat Ali & Khan, Aziz, 2021. "A fractional order Covid-19 epidemic model with Mittag-Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003842
    DOI: 10.1016/j.chaos.2021.111030
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    Cited by:

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    2. Zulqurnain Sabir & Thongchai Botmart & Muhammad Asif Zahoor Raja & Wajaree Weera, 2022. "An advanced computing scheme for the numerical investigations of an infection-based fractional-order nonlinear prey-predator system," PLOS ONE, Public Library of Science, vol. 17(3), pages 1-13, March.
    3. Hashem Najafi & Sina Etemad & Nichaphat Patanarapeelert & Joshua Kiddy K. Asamoah & Shahram Rezapour & Thanin Sitthiwirattham, 2022. "A Study on Dynamics of CD4 + T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and Newton Polynomials," Mathematics, MDPI, vol. 10(9), pages 1-32, April.

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