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

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.

Authors

Publication Details

Journal
International Journal of Apllied Mathematics
Published
2025-10-15
DOI
https://doi.org/10.12732/ijam.v38i6s.438
Primary Topic
Obesity and Health Practices
Type
article
Field-Weighted Citation Impact
0.00
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article

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

A. Amalarathinam
International Journal of Apllied Mathematics
Obesity and Health Practices
article

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

A. Amalarathinam
article en

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.

International Journal of Apllied MathematicsVol. 38(6s)
Openalex Percentile: Top 53%
Obesity and Health Practices
DOIOpen Access PDFOpenAlex
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A MATHEMATICAL MODEL FOR OBESITY IN YOUNG WOMEN AGED 18 TO 25 YEARS — A. Amalarathinam · International Journal of Apllied Mathematics (2025) | TGRS Research Map | TGRS