On the fractional-order mathematical model of COVID-19 with the effects of multiple non-pharmaceutical interventions-Reference-Cited by-同舟云学术

On the fractional-order mathematical model of COVID-19 with the effects of multiple non-pharmaceutical interventions

Published:2022 Issue:9 Volume:7 Page:16017-16036
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Haq Ihtisham Ul¹,Ali Nigar¹,Ahmad Hijaz²,Nofal Taher A.³

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan

2. Section of Mathematics, international Telematic, University Uninettuno, Corso Vittorio Emanuele Ⅱ, 39, Roma 00186, Italy

3. Department of Mathematics, College of Science, Taif University, Taif 21944, Saudi Arabia

Abstract

<abstract><p>In this article, the Caputo fractional derivative operator of different orders $ 0 < \alpha\leq1 $ is applied to formulate the fractional-order model of the COVID-19 pandemic. The existence and boundedness of the solutions of the model are investigated by using the Gronwall-Bellman inequality. Further, the uniqueness of the model solutions is established by using the fixed-point theory. The Laplace Adomian decomposition method is used to obtain an approximate solution of the nonlinear system of fractional-order differential equations of the model with a different fractional-order $ \alpha $ for every compartment in the model. Finally, graphical presentations are presented to show the effects of other fractional parameters $ \alpha $ on the obtained approximate solutions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference39 articles.

1. M. Garcia, N. Lipskiy, J. Tyson, R. Watkins, E. Stein, T. Kinley, Centers for disease control and prevention 2019 novel coronavirus disease (COVID-19) information management: Addressing national health-care and public health needs for standardized data definitions and codified vocabulary for data exchange, J. Am. Med. Inf. Assoc., 27 (2020), 1476–1487. https://doi.org/10.1093/jamia/ocaa141

2. Report 9–Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand, MRC Centre for Global Infectious Disease Analysis COVID-19, 2020. Available from: https://www.imperial.ac.uk/mrc-global-infectious-disease-analysis/covid-19/report-9-impact-of-npis-on-covid-19/.

3. P. Roy, K. R. Upadhyay, J. Caur, Modeling Zika transmission dynamics: Prevention and control, J. Biol. Syst., 28 (2020), 719–749. https://doi.org/10.1142/S021833902050014X

4. S. Dilshad, N. Singh, M. Atif, A. Hanif, N. Yaqub, W. A. Farooq, et al., Automated image classification of chest X-rays of COVID-19 using deep transfer learning, Results Phys., 28 (2021), 104529. https://doi.org/10.1016/j.rinp.2021.104529

5. M. Nicola, Z. Alsafi, C. Sohrabi, A. Kerwan, A. Al-Jabir, C. Iosifidis, et al., The socio-economic implications of the coronavirus pandemic (COVID-19): A review, Int. J. Surg., 78 (2020), 185–193. https://doi.org/10.1016/j.ijsu.2020.04.018

Cited by 15 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

1. A fractional mathematical model for vaccinated humans with the impairment of Monkeypox transmission;The European Physical Journal Special Topics;2024-07-10

2. Comprehensive analysis of COVID-19 transmission dynamics: mathematical modeling, stability analysis, and optimal control strategies;Physica Scripta;2024-06-20

3. Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions;International Journal of Mathematics and Mathematical Sciences;2024-04-05

4. Chaos and Control of COVID-19 Dynamical System;Chaos Theory and Applications;2023-11-30

5. Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators;International Journal of Biomathematics;2023-11-29