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Journal of Applied Nonlinear Dynamics 15(2) (2026) 303--311 | DOI:10.5890/JAND.2026.06.003

Manisha Meena$^{1}$, Vikas Kumar Meena$^{2}$, Murli Manohar Gour$^{2}$, Shyamsunder$^{3}$

$^{1}$ Department of Mathematics, Motilal Nehru College, (University of Delhi) Delhi, India

$^{2}$ Department of Mathematics, Vivekananda Global University Jaipur, India

$^{3}$ Department of Mathematics, SRM University Delhi-NCR, Sonepat-131029, Haryana, India

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Abstract

Mathematical modeling has become an essential theoretical tool for understanding fundamental aspects of various medical and biological phenomena. This paper develops a mathematical model involving the incomplete $H$-function (I$H$F). The primary objective of this study is to analyze the glucose supply in human blood. The results are comprehensive and emphasize the impact of key parameters on glucose dynamics. These findings uncover intricate relationships between glucose supply and metabolic processes. The model provides a robust framework for exploring scenarios that replicate real-world physiological conditions, highlighting its potential applications in diabetes management and metabolic research.

Acknowledgments

The authors express their sincere thanks to the editor and reviewers for their fruitful comments and suggestions that improved the quality of the manuscript.

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