Author(s):
1. Asim Nawaz:
PMAS Argid Agriculture, Rawalpindi, Pakistan.
Abstract:
This paper develops a fractal fractional Mittag-Leffler operator to model the non-integer order evolutionary kinetics of the Human Immunodeficiency Virus (HIV). It analyzes the fractional- order HIV model qualitatively and quantitatively, wherein the uniqueness and existence of solutions are rigorously justified. Sensitivity analysis as well as stability of the model is performed. To achieve that objective, BRNAR-NNs are applied with a novel approach for the purpose of train the model of HIV Fractional Order Disease as follows. The solver implemented is a Grunwald-Letnikov-based one which is used in generating a dataset for that model. Numerical simulation for some varying fractional order 's is done while illustrating key effects of critical model parameters on disease dynamics which are then further elaborated with graphical representation. Using the MATLAB FD12, extensive Simulink results include mean square error, error histograms, and regression analysis to show that the approach used is accurate, reliable, and effective. This validates the BRNAR-NNs for their efficacy in modeling HIV dynamics using statistical investigations.
Page(s):
146-146
DOI:
DOI not available
Published:
Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
Human immunodeficiency virus
,
bayesian regularization
,
Nonlinear autoregressive neural networks
,
fractional operator
References:
References are not available for this document.
Citations
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