https://doi.org/10.1140/epjs/s11734-024-01211-5
Regular Article
A fractional mathematical model for vaccinated humans with the impairment of Monkeypox transmission
1
Department of Mathematics, AVVM Sri Pushpam College (Affiliated to Bharathidasan University, Tiruchirappalli), Poondi, 613 503, Thanjavur, Tamilnadu, India
2
Department of Mathematics, Malaviya National Institute of Technology, 302017, Jaipur, Rajasthan, India
3
Department of HEAS (Mathematics), Rajasthan Technical University, 324010, Kota, Rajasthan, India
Received:
22
April
2024
Accepted:
14
June
2024
Published online:
10
July
2024
This research develops a comprehensive numerical model leveraging fuzzy fractional differential equations to analyze the transmission dynamics of the Monkeypox virus. Using Caputo’s fuzzy fractional differential equations, we construct a dynamical model for Monkeypox vaccination in humans. The importance of fuzzy fractional differential equations lies in their ability to provide a more accurate representation of the transmission dynamics due to their non-local properties, which capture memory and hereditary effects inherent in the spread of infectious diseases. Our numerical simulations highlight how vaccination significantly curbs disease spread, demonstrating the practical application of fuzzy fractional techniques in epidemiology. The study underscores the necessity of these advanced mathematical tools in capturing the complex dynamics of Monkeypox transmission, paving the way for more effective control strategies.
Key words: 26A33 / 92B05 / 92C50
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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.
