Investigation of the dynamics of COVID-19 with SEIHR nonsingular and nonlocal kernel fractional model

被引:5
作者
Deressa, Chernet Tuge [1 ]
Duressa, Gemechis File [1 ]
机构
[1] Jimma Univ, Coll Nat Sci, Dept Math, Jimma, Ethiopia
关键词
COVID-19; an SEIHR model; reproductive number; ABC fractional derivative; stability; global sensitivity analysis; DISEASE;
D O I
10.1080/02286203.2021.2012636
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We considered an SEIHR mathematical model to investigate the dynamics of COVID-19. Real data of COVID-19 confirmed cases are fitted to the model. The basic reproductive number is approximated to be R-0 approximate to 2.16. The most globally sensitive parameter of the basic reproductive number is the incubation period of coronavirus. The Atangana Baleanu fractional derivative in Caputo sense (ABC) representation of the model is formulated, and a numerical approximation developed by Toufik and Atangana is used. It is shown that decreasing the fractional-order leads to decreasing the infection of the virus in the infected compartments.
引用
收藏
页码:1030 / 1048
页数:19
相关论文
共 40 条
[1]   Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel [J].
Abdeljawad, Thabet ;
Baleanu, Dumitru .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03) :1098-1107
[2]  
[Агдауи Хасан Aghdaoui Hassan], 2021, [Математическая биология и биоинформатика, Mathematical Biology and Bioinformatics, Matematicheskaya biologiya i bioinformatika], V16, P39, DOI 10.17537/2021.16.39
[3]   A report on COVID-19 epidemic in Pakistan using SEIR fractional model [J].
Ahmad, Zubair ;
Arif, Muhammad ;
Ali, Farhad ;
Khan, Ilyas ;
Nisar, Kottakkaran Sooppy .
SCIENTIFIC REPORTS, 2020, 10 (01)
[4]   Mathematical modeling and analysis of the novel Coronavirus using Atangana-Baleanu derivative [J].
Alzahrani, Ebraheem ;
El-Dessoky, M. M. ;
Baleanu, Dumitru .
RESULTS IN PHYSICS, 2021, 25
[6]   Modeling and forecasting the spread of COVID-19 with stochastic and deterministic approaches: Africa and Europe [J].
Atangana, Abdon ;
Igret Araz, Seda .
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[8]   Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator [J].
Atangana, Abdon ;
Khan, Muhammad Altaf ;
Fatmawati .
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (04) :1985-1998
[9]   RETRACTED: New numerical method for ordinary differential equations: Newton polynomial (Retracted Article) [J].
Atangana, Abdon ;
Araz, Seda Igret .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 372
[10]   NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].
Atangana, Abdon ;
Baleanu, Dumitru .
THERMAL SCIENCE, 2016, 20 (02) :763-769