A fractional order Covid-19 epidemic model with Mittag-Leffler kernel

被引:20
|
作者
Khan, Hasib [1 ]
Ibrahim, Muhammad [1 ]
Abdel-Aty, Abdel-Haleem [2 ,3 ]
Khashan, M. Motawi [4 ]
Khan, Farhat Ali [6 ]
Khan, Aziz [5 ]
机构
[1] Shaheed Benazir Bhutto Univ, Dept Math, Dir Upper, Khyber Pakhtunk, Pakistan
[2] Univ Bisha, Dept Phys, Coll Sci, POB 344, Bisha 61922, Saudi Arabia
[3] Al Azhar Univ, Fac Sci, Phys Dept, Assiut 71524, Egypt
[4] King Saud Univ, Dept Basic Sci, Riyadh 11451, Saudi Arabia
[5] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[6] Shaheed Benazir Bhutto Univ, Dept Pharm, Dir Upper, Khyber Pakhtunk, Pakistan
关键词
MATHEMATICAL-MODEL; TUBERCULOSIS TRANSMISSION; STABILITY ANALYSIS; EQUATIONS;
D O I
10.1016/j.chaos.2021.111030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we are studying fractional-order COVID-19 model for the analytical and computational aspects. The model consists of five compartments including; "S-c '' which denotes susceptible class, "E-c '' represents exposed population, "I-c '' is the class for infected people who have been developed with COVID-19 and can cause spread in the population. The recovered class is denoted by "R-c '' and "V-c '' is the concentration of COVID-19 virus in the area. The computational study shows us that the spread will be continued for long time and the recovery reduces the infection rate. The numerical scheme is based on the Lagrange's interpolation polynomial and the numerical results for the suggested model are similar to the integer order which gives us the applicability of the numerical scheme and effectiveness of the fractional order derivative. (C) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数:14
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