https://doi.org/10.1140/epjp/s13360-023-04095-x
Regular Article
Transition dynamics between a novel coinfection model of fractional-order for COVID-19 and tuberculosis via a treatment mechanism
1
Department of Mathematics, LJ Institute of Engineering and Technology, LJ University, 382210, Ahmedabad, Gujarat, India
2
Department of Mathematics and Computer Sciences, Necmettin Erbakan University, 42090, Konya, Türkiye
b mehmetyavuz@erbakan.edu.tr, M.Yavuz@exeter.ac.uk
Received:
26
April
2023
Accepted:
11
May
2023
Published online:
27
May
2023
In this paper, a fractional-order coinfection model for the transmission dynamics of COVID-19 and tuberculosis is presented. The positivity and boundedness of the proposed coinfection model are derived. The equilibria and basic reproduction number of the COVID-19 sub-model, Tuberculosis sub-model, and COVID-19 and Tuberculosis coinfection model are derived. The local and global stability of both the COVID-19 and Tuberculosis sub-models are discussed. The equilibria of the coinfection model are locally asymptotically stable under certain conditions. Later, the impact of COVID-19 on TB and TB on COVID-19 is analyzed. Finally, the numerical simulation is carried out to assess the effect of various biological parameters in the transmission dynamics of COVID-19 and Tuberculosis coinfection.
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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.
