A MATHEMATICAL MODEL FOR OBESITY IN YOUNG WOMEN AGED 18 TO 25 YEARS

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Published: Oct 15, 2025
DOI: https://doi.org/10.12732/ijam.v38i6s.438
Keywords:
Boundedness, Equilibrium Analysis, Global Stability, Gronwall’s inequality, Local stability, Lyapunov’s theorem, Obesity, Routh-Hurwitz Criteria

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A. Amalarathinam, Sabarmathi A. , Pooja C.

Abstract

A mathematical model for obesity in young women aged 18 to 25 years is formulated. The boundedness of the system is verified using Gronwall’s inequality. Equilibrium points are found. The local stability of the model is analysed around the equilibrium points using the       Routh-Hurwitz Criteria.  The global stability of the model is analysed using Lyapunov’s theorem on stability.  Numerical simulations are carried out using MATLAB.

Article Details

Issue
Vol. 38 No. 6s (2025)
Section
Articles