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

被引:12
|
作者
Ul Haq, Ihtisham [1 ]
Ali, Nigar [1 ]
Ahmad, Hijaz [2 ]
Nofal, Taher A. [3 ]
机构
[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa 18000, Pakistan
[2] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
[3] Taif Univ, Coll Sci, Dept Math, Taif 21944, Saudi Arabia
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 09期
关键词
Adomian decomposition method; COVID-19; Uniqueness of the solutions; Arzela-Ascoli theorem; Schauder's fixed-point theorem; TRANSMISSION DYNAMICS; INTEGER ORDER; CONTROLLERS; PREVENTION; IMPACTS;
D O I
10.3934/math.2022877
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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.
引用
收藏
页码:16017 / 16036
页数:20
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