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
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
收藏
页数:10
相关论文
共 27 条
[21]   Modelling and simulation of a dynamical system with the Atangana-Baleanu fractional derivative [J].
Owolabi, Kolade M. .
EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (01)
[22]  
Ryan K.J., 2004, MED MICROBIOLOGY, V4
[23]   SIR epidemic model with Mittag?Leffler fractional derivative [J].
Sene, Ndolane .
CHAOS SOLITONS & FRACTALS, 2020, 137
[24]  
Shah K, 2017, J SCI ARTS, P257
[25]   Global analysis of a mathematical model for Hepatitis C virus transmissions [J].
Shi, Ruiqing ;
Cui, Yunting .
VIRUS RESEARCH, 2016, 217 :8-17
[26]   Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative [J].
Ucar, Sumeyra ;
Ucar, Esmehan ;
Ozdemir, Necati ;
Hammouch, Zakia .
CHAOS SOLITONS & FRACTALS, 2019, 118 :300-306
[27]   Threshold condition and non pharmaceutical interventions's control strategies for elimination of COVID-19 [J].
Zamir, Muhammad ;
Nadeem, Fawad ;
Abdeljawad, Thabet ;
Hammouch, Zakia .
RESULTS IN PHYSICS, 2021, 20