On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model

被引:35
作者
Ain, Qura Tul [1 ]
Anjum, Naveed [2 ]
Din, Anwarud [3 ]
Zeb, Anwar [5 ]
Djilali, Salih [6 ,7 ]
Khan, Zareen A. [4 ]
机构
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan
[3] Sun Yat Sen Univ Guangzhou, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[4] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh, Saudi Arabia
[5] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunk, Pakistan
[6] Univ Tlemcen, Lab Anal Non Lineaire & Math Appl, Tilimsen, Algeria
[7] Hassiba Benbouali Univ, Math Dept, Fac Exact Sci & Informat, Chlef, Algeria
关键词
MERS-CoV model; Existence and uniqueness; UH stability; GABMM; Numerical simulation; RESPIRATORY SYNDROME CORONAVIRUS; HEAT-EQUATION; DISEASE; FLOW; EPIDEMIC;
D O I
10.1016/j.aej.2021.10.016
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The current paper deals with the transmission of MERS-CoV model between the humans populace and the camels, which are suspected to be the primary source for the infection. The effect of time MERS-CoV disease transmission is explored using a non-linear fractional order in the sense of Caputo operator in this paper. The considered model is analyzed for the qualitative theory, uniqueness of the solution are discussed by using the Banach contraction principle. Stability analysis is investigated by the aid of Ulam-Hyres (UH) and its generalized version. Finally, we show the numerical results with the help of generalized Adams-Bashforth-Moulton Method (GABMM) are used for the proposed model, for supporting our analytical work. (c) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
引用
收藏
页码:5123 / 5131
页数:9
相关论文
共 69 条
[41]   A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment [J].
Kumar, Sunil ;
Kumar, Ajay ;
Samet, Bessem ;
Gomez-Aguilar, J. F. ;
Osman, M. S. .
CHAOS SOLITONS & FRACTALS, 2020, 141
[42]   Chaotic behaviour of fractional predator-prey dynamical system [J].
Kumar, Sunil ;
Kumar, Ranbir ;
Cattani, Carlo ;
Samet, Bessem .
CHAOS SOLITONS & FRACTALS, 2020, 135
[43]   On the fractional Adams method [J].
Li, Changpin ;
Tao, Chunxing .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (08) :1573-1588
[44]  
Miller K. S., 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations
[45]   Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells [J].
Naik, Parvaiz Ahmad ;
Owolabi, Kolade M. ;
Yavuz, Mehmet ;
Zu, Jian .
CHAOS SOLITONS & FRACTALS, 2020, 140
[46]   Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan [J].
Naik, Parvaiz Ahmad ;
Yavuz, Mehmet ;
Qureshi, Sania ;
Zu, Jian ;
Townley, Stuart .
EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (10)
[47]   The role of prostitution on HIV transmission with memory: A modeling approach [J].
Naik, Parvaiz Ahmad ;
Yavuz, Mehmet ;
Zu, Jian .
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (04) :2513-2531
[48]  
Poletto C, 2014, EUROSURVEILLANCE, V19, P13
[49]   Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator [J].
Qureshi, Sania ;
Yusuf, Abdullahi .
CHAOS SOLITONS & FRACTALS, 2019, 126 :32-40
[50]   Evolution of fractional mathematical model for drinking under Atangana-Baleanu Caputo derivatives [J].
Rahman, Mati Ur ;
Arfan, Muhammad ;
Shah, Zahir ;
Alzahrani, Ebraheem .
PHYSICA SCRIPTA, 2021, 96 (11)