Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality

• Author(s): Boniface O. Kwach
• Paper ID: 1709392
• Page: 1450-1452
• Published Date: 26-06-2025
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 8 Issue 12 June-2025

Abstract

This paper presents a comprehensive stability analysis of a three-dimensional dynamical system that models glucose–insulin interactions with epinephrine as a third regulatory variable. The system captures the dynamics of glucose concentration (g), insulin concentration (h), and epinephrine levels (e), incorporating the influence of external perturbations represented by J(t), P(t), and Z(t). By applying multidimensional Ostrowski-type inequalities, we establish global stability criteria, derive sharp bounds on system trajectories, and provide a theoretical basis for clinical decision-making in diabetes management. The proposed framework allows for precise quantification of deviation bounds and convergence rates.

Keywords

Diabetes mellitus, Glucose-insulin dynamics, Ostrowski inequality, Stability analysis, Mathematical biology

Citations

IRE Journals:
Boniface O. Kwach "Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality" Iconic Research And Engineering Journals Volume 8 Issue 12 2025 Page 1450-1452

IEEE:
Boniface O. Kwach "Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality" Iconic Research And Engineering Journals, 8(12)