On the analysis of the fractional model of COVID-19 under the piecewise global operators
-
Published:2023
Issue:4
Volume:20
Page:6134-6173
-
ISSN:1551-0018
-
Container-title:Mathematical Biosciences and Engineering
-
language:
-
Short-container-title:MBE
Author:
El-Shorbagy M. A.12, ur Rahman Mati3, Alyami Maryam Ahmed4
Affiliation:
1. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia 2. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt 3. School of Mathematical Science, Shanghai Jiao Tong University, Shanghai 200030, China 4. Department of Mathematics, Faculty of Sciences, University of Jeddah, Jeddah, Saudi Arabia
Abstract
<abstract><p>An expanding field of study that offers fresh and intriguing approaches to both mathematicians and biologists is the symbolic representation of mathematics. In relation to COVID-19, such a method might provide information to humanity for halting the spread of this epidemic, which has severely impacted people's quality of life. In this study, we examine a crucial COVID-19 model under a globalized piecewise fractional derivative in the context of Caputo and Atangana Baleanu fractional operators. The said model has been constructed in the format of two fractional operators, having a non-linear time-varying spreading rate, and composed of ten compartmental individuals: Susceptible, Infectious, Diagnosed, Ailing, Recognized, Infectious Real, Threatened, Recovered Diagnosed, Healed and Extinct populations. The qualitative analysis is developed for the proposed model along with the discussion of their dynamical behaviors. The stability of the approximate solution is tested by using the Ulam-Hyers stability approach. For the implementation of the given model in the sense of an approximate piecewise solution, the Newton Polynomial approximate solution technique is applied. The graphing results are with different additional fractional orders connected to COVID-19 disease, and the graphical representation is established for other piecewise fractional orders. By using comparisons of this nature between the graphed and analytical data, we are able to calculate the best-fit parameters for any arbitrary orders with a very low error rate. Additionally, many parameters' effects on the transmission of viral infections are examined and analyzed. Such a discussion will be more informative as it demonstrates the dynamics on various piecewise intervals.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine
Reference49 articles.
1. T. H. Zhao, O. Castillo, H. Jahanshahi, A. Yusuf, M. O. Alassafi, F. E. Alsaadi, et al., A fuzzy-based strategy to suppress the novel coronavirus (2019-NCOV) massive outbreak, Appl. Comput. Math., 20 (2021), 160–76. 2. T. S. Hassan, E. M. Elabbasy, A. E. Matouk, R. A. Ramadan, A. T. Abdulrahman, I. Odinaev, Routh-Hurwitz stability and quasiperiodic attractors in a fractional-order model for awareness programs: applications to COVID-19 pandemic, Discrete Dynam. Nat. Soc., 2022 (2022), 1939260. https://doi.org/10.1155/2022/1939260 3. D. Baleanu, M. A. Hassan, A. Jajarmi, K. V. Zarghami, J. J. Nieto, A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects, Alexandria Eng. J., 6 (2022), 4779–4791. https://doi.org/10.1016/j.aej.2021.10.030 4. Q. Guo, M. Li, C. Wang, P. Wang, Z. Fang, S. Wu, et al., Host and infectivity prediction of Wuhan 2019 novel coronavirus using deep learning algorithm, preprint, 2020. https://doi.org/10.1101/2020.01.21.914044 5. Q. Cui, Z. Hu, Y. Li, J. Han, Z. Teng, J. Qian, Dynamic variations of the COVID-19 disease at different quarantine strategies in Wuhan and mainland China, J. Infect. Public Health, 13 (2020), 849–855. https://doi.org/10.1016/j.jiph.2020.05.014
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
|
|