https://doi.org/10.1140/epjs/s11734-024-01197-0
Regular Article
Some fractional-order modeling and analysis of the transmission dynamics together with prevention controls
1
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, 30203, Cartagena, Spain
2
Department of Civil Engineering, Institute of Energy Infrastructure (IEI), College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, 43000, Kajang, Selangor, Malaysia
3
Mathematics Research Center, Near East University TRNC, Mersin 10, 99138, Nicosia, Turkey
4
Department of Computer Science and Mathematics, Lebanese American University, 11022801, Beirut, Lebanon
5
Institute of Space Science-Subsidiary of INFLPR, 76900, Magurele-Bucharest, Romania
6
Department of Mathematics, College of Education, University of Sulaimani, 46001, Sulaimani, Kurdistan Region, Iraq
7
Research and Development Center, University of Sulaimani, 46001, Sulaymaniyah, Iraq
8
School of Mathematical Sciences, Universiti Sains Malaysia, 11800, USM Penang, Malaysia
9
Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, 11451, Riyadh, Saudi Arabia
Received:
18
March
2024
Accepted:
4
June
2024
Published online:
18
June
2024
The purpose of the present research is to improve our understanding of how coronavirus infection spreads by creating an epidemic model that incorporates isolation and quarantine measures. The dynamics of this viral spread are represented using the Caputo–Fabrizio operator. By analyzing the equilibria of the model and utilizing the next-generation matrix method, we determine the endemic indicator, 
. The main findings demonstrate that the equilibrium without infection is locally stable when is less than one and unstable otherwise. Also, we demonstrate the existence and uniqueness of the solution of our recommended model. In addition to this, we interrogate the solution pathways of the system by varying different factors, aiming to comprehend the intricate transmission of COVID-19 and visualize the crucial factors of the system that can aid public health officials in the control of the spread of infection.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
