Existence theory and numerical simulations of variable order model of infectious disease

被引:7
作者
Bushnaq, Samia [1 ]
Shafiullah [2 ]
Sarwar, Muhammad [2 ]
Alrabaiah, Hussam [3 ,4 ]
机构
[1] Princess Sumaya Univ Technol, King Abdullah Fac Engn 2, Dept Basic Sci, Amman 11941, Jordan
[2] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan
[3] Al Ain Univ, Al Ain, U Arab Emirates
[4] Tafila Tech Univ, Math Dept, Tafila, Jordan
关键词
Disease dynamical model; Variable order differentiation; Existence theory; Numerical results; CORONAVIRUS; STABILITY;
D O I
10.1016/j.rinam.2023.100395
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This study uses variable order differentiation and integration to investigate the disease dynamical model of COVID-19. Here, we update the results of the qualitative and quantitative analysis. We obtain necessary conclusions for the existence theory of the solution to the suggested model in order to satisfy the aforementioned criteria using fixed point theories of Banach and Schauder. Additionally, we simulate the outcomes mathematically and graphically using the Euler modified technique for numerical purposes. There are several graphs provided that relate to various variable ordering. In addition, we compare our simulated results with the real data results also in case of infected class.& COPY; 2023 The Author(s). Published by Elsevier B.V. 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
页数:9
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