A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel

被引：17

作者：

Alshehri, Hashim M. ^{[1
]}

Khan, Aziz ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21521, Saudi Arabia

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

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

D O I：

10.1155/2021/2524027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a mathematical fractional order Hepatitis C virus (HCV) spread model is presented for an analytical and numerical study. The model is a fractional order extension of the classical model. The paper includes the existence, singularity, Hyers-Ulam stability, and numerical solutions. Our numerical results are based on the Lagrange polynomial interpolation. We observe that the model of fractional order has the same behavior of the solutions as the integer order existing model.

引用

页数：10

共 27 条

[1] Fractional logistic models in the frame of fractional operators generated by conformable derivatives [J].

Abdeljawad, Thabet ;

Al-Mdallal, Qasem M. ;

Jarad, Fahd .

CHAOS SOLITONS & FRACTALS, 2019, 119 (94-101) :94-101

[2] Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels [J].

Abdeljawad, Thabet ;

Baleanu, Dumitru .

ADVANCES IN DIFFERENCE EQUATIONS, 2016,

[3]

[Anonymous], 2016, Viral hepatitis

[4] A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan [J].

Arfan, Muhammad ;

Shah, Kamal ;

Abdeljawad, Thabet ;

Mlaiki, Nabil ;

Ullah, Aman .

ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (01) :447-456

[5] Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order [J].

Atangana, Abdon ;

Koca, Ilknur .

CHAOS SOLITONS & FRACTALS, 2016, 89 :447-454

[6] 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

[7] Modelling the Spread of River Blindness Disease via the Caputo Fractional Derivative and the Beta-derivative [J].

Atangana, Abdon ;

Alqahtani, Rubayyi T. .

ENTROPY, 2016, 18 (02)

[8] Extension of the fractional derivative operator of the Riemann-Liouville [J].

Baleanu, Dumitru ;

Agarwal, Praveen ;

Parmar, Rakesh K. ;

Alqurashi, Maysaa M. ;

Salahshour, Soheil .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06) :2914-2924

[9] Global analysis of a mathematical model for hepatitis C considering the host immune system [J].

Ble, Gamaliel ;

Esteva, Lourdes ;

Peregrino, Alejandro .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (02) :1378-1390

[10] Dynamical models of tuberculosis and their applications [J].

Castillo-Chavez, C ;

Song, BJ .

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2004, 1 (02) :361-404

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