https://doi.org/10.1140/epjp/s13360-023-04217-5
Regular Article
Transmission of SARS-CoV-2 on Barabási–Albert network under constant and variable rates of infection
1
Department of Mathematics, University of Central Punjab, Lahore, Pakistan
2
Department of Mathematics, Science Faculty, Fırat University, 23119, Elazig, Turkey
3
Department of Medical Research, China Medical University, 40402, Taichung, Taiwan
4
Technical Education and Vocational Training Authority, Government of the Punjab, Lahore, Pakistan
5
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, 11432, Riyadh, Saudi Arabia
Received:
14
April
2023
Accepted:
20
June
2023
Published online:
1
July
2023
The SARS-CoV-2 has been affecting all countries since its outbreak in 2019 from China. Since then the epidemiological models are being used to predict the dynamics of the disease. These models are based on random diffusion of the disease and hence ignore the social interactions that naturally exist in a society. To take into account the human interactions, it is novel to consider the network approach. In this paper, we give numerical simulations of the Susceptible–Exposed–Infected–Recovered model on the Barabási–Albert network to analyze the dynamics of the SARS-CoV-2 in Pakistan under constant and variable rates of infection. We also show a day-by-day transmission of the disease in the network under both the rates and observe that the disease diffuses slowly with variable rate of infection as compared to constant rate. It is figured out that we can efficiently control the transmission if we keep it from entering the nodes with high degree of connections.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
