https://doi.org/10.1140/epjs/s11734-024-01258-4
Regular Article
A fractional order model for dynamics of HIV infection through various modes of transmission
Department of Mathematics, Gauhati University, 784014, Guwahati, India
b
hemen_dutta08@rediffmail.com
Received:
30
April
2024
Accepted:
17
July
2024
Published online:
1
August
2024
The prime objective of this work is to analyze a Caputo fractional order HIV model where infection occurs through various modes. A detailed investigation on existence, uniqueness, boundedness as well as non-negativity of solutions have been performed at first. Stability analysis of the fixed points has been carried out in the next section. Sensitivity analysis of the threshold parameter has also been performed. Finally, a series of numerical simulations are used to confirm theoretical findings.
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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.
