A numerical and analytical study of SE(Is)(Ih)AR epidemic fractional order COVID-19 model

被引：22

作者：

Khan, Hasib ^{[1
]}

Begum, Razia ^{[1
]}

Abdeljawad, Thabet ^{[2
,3
,4
]}

Khashan, M. Motawi ^{[5
]}

机构：

[1] Shaheed Benazir Bhutto Univ, Dept Math, Dir Upper, Khyber Pakhtunk, Pakistan

[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

[5] King Saud Univ, Dept Basic Sci, Common First Year, Riyadh 11451, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Fractal fractional derivatives; Existence and uniqueness of the solutions; Hyers-Ulam stability; Numerical scheme; GLOBAL EXPONENTIAL STABILITY; NEURAL-NETWORKS; DIFFERENTIAL-EQUATIONS;

D O I：

10.1186/s13662-021-03447-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article describes the corona virus spread in a population under certain assumptions with the help of a fractional order mathematical model. The fractional order derivative is the well-known fractal fractional operator. We have given the existence results and numerical simulations with the help of the given data in the literature. Our results show similar behavior as the classical order ones. This characteristic shows the applicability and usefulness of the derivative and our numerical scheme.

引用

页数：31

共 49 条

[1] On analysis and optimal control of a SEIRI epidemic model with general incidence rate [J].

Aghdaoui, Hassan ;

Alaoui, Abdesslem Lamrani ;

Nisar, Kottakkaran Sooppy ;

Tilioua, Mouhcine .

RESULTS IN PHYSICS, 2021, 20

[2] Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model [J].

Algahtani, Obaid Jefain Julaighim .

CHAOS SOLITONS & FRACTALS, 2016, 89 :552-559

[3]

Alqahtani B., 2019, MATHEMATICS-BASEL, V7, P694, DOI DOI 10.3390/math7080694

[4]

[Anonymous], 1997, Appl. Mech. Rev, DOI DOI 10.1115/1.3101682

[5]

[Anonymous], 2020, NEW ENGL J MED, DOI [DOI 10.1056/NEJMoa2001316, DOI 10.1056/NEJMOA2001316]

[6] Analysis of fractal fractional differential equations [J].

Atangana, Abdon ;

Akgul, Ali ;

Owolabi, Kolade M. .

ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) :1117-1134

[7] Mathematical model to assess the imposition of lockdown during COVID-19 pandemic [J].

Baba, Isa Abdullahi ;

Yusuf, Abdullahi ;

Nisar, Kottakkaran Sooppy ;

Abdel-Aty, Abdel-Haleem ;

Nofal, Taher A. .

RESULTS IN PHYSICS, 2021, 20

[8]

Baleanu D., 2012, Series on Complexity, Nonlinearity and Chaos, V3, DOI DOI 10.1142/8180

[9] A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative [J].

Baleanu, Dumitru ;

Jajarmi, Amin ;

Mohammadi, Hakimeh ;

Rezapour, Shahram .

CHAOS SOLITONS & FRACTALS, 2020, 134

[10] A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions [J].

Baleanu, Dumitru ;

Etemad, Sina ;

Rezapour, Shahram .

BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)

← 1 2 3 4 5 →