Analysis of a Nonlinear Mathematical Model Related to Type 1 Diabetes and Growth Hormone
DOI:
https://doi.org/10.66131/JDSC12202628-36Keywords:
Diabetes, Beta Cells, Growth Hormone, Glucose, Compact Invariant SetsAbstract
In this work, a model of nonlinear ordinary differential equations is studied, this model describes the dynamics between beta cells and the somatotropin hormone, better known as growth hormone. Through the Localization of Invariant Compact Sets (LICS) method, a bounded positive invariant domain is established. The objective of the present analysis is to demonstrate the associated effects of growth hormone on glucose variation in the human body. The importance of using mathematical models in this disease lies in the fact that it offers the advantage of helping to understand the evolution of this disease in different scenarios.
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Copyright (c) 2026 Erick Vazquez Perez, Diana Gamboa, Konstantin Starkov
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