Parameter estimation study of temporal fractional HIV/AIDS transmission model with fractal dimensions using real data in India

Lalchand Verma, Ramakanta Meher and Darshak P. Pandya

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 234, issue C, 135-150

Abstract: This work considers a temporal fractional HIV/AIDS model with fractal dimensions to examine the influence of awareness on the dynamics of HIV/AIDS. It investigates an epidemiological model of the dynamics of HIV/AIDS transmission in India using actual data from 1990 to 2016 to authenticate the proposed model. The Picard–Lindelof approach is employed to demonstrate the uniqueness and existence of the solutions where the stability analysis is done with the disease-free equilibrium point and basic reproduction number R0. The Adams–Bashforth method employs a two-step Lagrange polynomial in the generalised power-law kernel form to obtain the proposed model’s numerical solution. Finally, the least square curve fitting method is used to estimate the parametric study of the proposed model with the actual data on HIV cases reported in India from 1990 to 2016.

Keywords: Fractal fractional derivative; HIV model; Parameter estimation; Lagrange polynomial (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:234:y:2025:i:c:p:135-150

DOI: 10.1016/j.matcom.2025.02.011

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