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

AIMS MATHEMATICS(2022)

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摘要
In this article, the Caputo fractional derivative operator of di fferent orders 0 < alpha <= 1 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 di fferential equations of the model with a different fractional-order alpha for every compartment in the model. Finally, graphical presentations are presented to show the e ffects of other fractional parameters alpha on the obtained approximate solutions.
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关键词
Adomian decomposition method, COVID-19, Uniqueness of the solutions, Arzela-Ascoli theorem, Schauder's fixed-point theorem
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