https://doi.org/10.1140/epjs/s11734-024-01202-6
Regular Article
Control analysis of fractional-order extracellular delayed Hepatitis C virus model
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 600 127, Chennai, Tamilnadu, India
Received:
16
March
2024
Accepted:
4
June
2024
Published online:
17
June
2024
In this study, we develop a fractional-order model to explore the dynamics of Hepatitis C Virus(HCV) model in the conjunction with antibodies. We examine the existence and positivity of solutions. This analysis indicates that the virus-free equilibrium becomes asymptotically stable when the basic reproductive number is below one. The sufficient conditions for the stability analysis of the endemic equilibrium are investigated. We construct an optimal control model, using the control parameters as Direct Acting Antivirals (DAA’s) treatment and awareness program. Numerical simulations are performed to validate the theoretical results.
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