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On the fractional-order mathematical model of COVID-19 with the effects of multiple non-pharmaceutical interventions

  • Received: 30 April 2022 Revised: 04 June 2022 Accepted: 07 June 2022 Published: 30 June 2022
  • MSC : 92B05, 92C10

  • In this article, the Caputo fractional derivative operator of different orders $ 0 < \alpha\leq1 $ is applied to formulate the fractional-order model of the COVID-19 pandemic. The existence and boundedness of the solutions of the model are investigated by using the Gronwall-Bellman inequality. Further, the uniqueness of the model solutions is established by using the fixed-point theory. The Laplace Adomian decomposition method is used to obtain an approximate solution of the nonlinear system of fractional-order differential equations of the model with a different fractional-order $ \alpha $ for every compartment in the model. Finally, graphical presentations are presented to show the effects of other fractional parameters $ \alpha $ on the obtained approximate solutions.

    Citation: Ihtisham Ul Haq, Nigar Ali, Hijaz Ahmad, Taher A. Nofal. On the fractional-order mathematical model of COVID-19 with the effects of multiple non-pharmaceutical interventions[J]. AIMS Mathematics, 2022, 7(9): 16017-16036. doi: 10.3934/math.2022877

    Related Papers:

  • In this article, the Caputo fractional derivative operator of different orders $ 0 < \alpha\leq1 $ is applied to formulate the fractional-order model of the COVID-19 pandemic. The existence and boundedness of the solutions of the model are investigated by using the Gronwall-Bellman inequality. Further, the uniqueness of the model solutions is established by using the fixed-point theory. The Laplace Adomian decomposition method is used to obtain an approximate solution of the nonlinear system of fractional-order differential equations of the model with a different fractional-order $ \alpha $ for every compartment in the model. Finally, graphical presentations are presented to show the effects of other fractional parameters $ \alpha $ on the obtained approximate solutions.



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