https://doi.org/10.1140/epjp/s13360-024-05639-5
Regular Article
Modeling spread and control of multidrug-resistant tuberculosis in India
1
Department of Mathematics, Govt. P.G. College, 470113, Bina, M.P, India
2
Department of Engineering Sciences, ABV-Indian Institute of Information Technology and Management, 474015, Gwalior, M.P, India
3
School of Mathematics and Allied Sciences, Jiwaji University, 474011, Gwalior, M.P, India
4
Department of Engineering Mathematics and Computing, Madhav Institute of Technology and Science-Deemed University, 474015, Gwalior, Madhya Pradesh, India
Received:
4
July
2024
Accepted:
10
September
2024
Published online:
21
September
2024
This paper investigates a deterministic fractional-order epidemic model to study the dynamics of multidrug-resistant tuberculosis (MDR-TB) by considering control strategies, such as the treatment of TB individuals and the cost of fitness for exposed individuals. From the analysis of the model, conditions for the disease elimination or persistence of the disease, based on the basic reproduction number 
, are derived. Using data on MDR-TB cases reported in India from 2005 to 2022, the fractional-order (FO) and biological parameters of the model are estimated. The analysis in this paper demonstrates that various control measures, such as early detection of the disease and completion of the treatment, can effectively reduce the number of MDR-TB cases, mitigating the further spread of the disease.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and 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.
