A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel

被引：46
|
作者：
Boudaoui, Ahmed [1 ]
Moussa, Yacine El Hadj [2 ]
Hammouch, Zakia [3 ,4 ,5 ]
Ullah, Saif [6 ]
机构：
[1] Univ Adrar, Lab Math Modeling & Applicat, Natl Rd 06, Adrar 01000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Dept Probabil & Stat, LP 89, Sidi Bel Abbes 22000, Algeria
[3] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam
[4] China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[5] Moulay Ismail Univ Meknes, Dept Sci, Ecole Normale Super, Meknes, Morocco
[6] Univ Peshawar Khyber Pakhtunkhwa, Dept Math, Peshawar, Pakistan
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 146卷
关键词：
Epidemic model; COVID-19; pandemic; Caputo?Fabrizio fractional derivative; Existence and uniqueness; Isolation; Quarantine; Numerical simulation;
D O I：
10.1016/j.chaos.2021.110859
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo?Fabrizio derivative. We discuss the existence and uniqueness of solution for the model under consideration, by using the the Picard?Lindel?f theorem. Further, using an efficient numerical approach we present an iterative scheme for the solutions of proposed fractional model. Finally, many numerical simulations are presented for various values of the fractional order to demonstrate the impact of some effective and commonly used interventions to mitigate this novel infection. From the simulation results we conclude that the fractional order epidemic model provides more insights about the disease dynamics. ? 2021 Elsevier Ltd. All rights reserved.
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页数：11
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