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A Fuzzy Fractional Order Approach to SIDARTHE Epidemic Model for COVID‐19

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Listed:
  • P. Chellamani
  • K. Julietraja
  • Ammar Alsinai
  • Hanan Ahmed

Abstract

In this paper, a novel coronavirus SIDARTHE epidemic model system is constructed using a Caputo‐type fuzzy fractional differential equation. Applying Caputo derivatives to our model is motivated by the need to more thoroughly examine the dynamics of the model. Here, the fuzzy concept is applied to the SIDARTHE epidemic model for finding the transmission of the coronavirus in an easier way. The existence of a unique solution is examined using fixed point theory for the given fractional SIDARTHE epidemic model. The dynamic behaviour of COVID‐19 is understood by applying the numerical results along with a combination of fuzzy Laplace and Adomian decomposition transform. Hence, an efficient method to solve a fuzzy fractional differential equation using Laplace transforms and their inverses using the Caputo sense derivative is developed, which can make the problem easier to solve numerically. Numerical calculations are performed by considering different parameter values.

Suggested Citation

  • P. Chellamani & K. Julietraja & Ammar Alsinai & Hanan Ahmed, 2022. "A Fuzzy Fractional Order Approach to SIDARTHE Epidemic Model for COVID‐19," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:5468696
    DOI: 10.1155/2022/5468696
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    References listed on IDEAS

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    1. Imran, M.A. & Aleem, Maryam & Riaz, M.B. & Ali, Rizwan & Khan, Ilyas, 2019. "A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 274-289.
    2. Alqhtani, Manal & Owolabi, Kolade M. & Saad, Khaled M. & Pindza, Edson, 2022. "Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Hari M. Srivastava & Khaled Mohammed Saad & Walid M. Hamanah, 2022. "Certain New Models of the Multi-Space Fractal-Fractional Kuramoto-Sivashinsky and Korteweg-de Vries Equations," Mathematics, MDPI, vol. 10(7), pages 1-13, March.
    4. Higazy, M., 2020. "Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
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