A Mathematical Model on Women's Osteoporosis

In this paper, a mathematical model of women's osteoporosis is formulated. Three control parameters used such as diet with exercise, nutrition intake and medication. The equilibrium analysis is performed. The boundedness and positiveness of the osteoporosis models are performed. The local and global stability is studied using the R.H. criteria and Lyapunov's approach. The reproduction number of osteoporosis is calculated. The sensitivity analysis is performed for the model. Numerical simulations are performed to show the flow of the variables using MATLAB.

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Publication Details

Journal
Metallurgical and Materials Engineering
Published
2025-04-16
DOI
https://doi.org/10.63278/1476
Primary Topic
Bone health and osteoporosis research
Type
article
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article

A Mathematical Model on Women's Osteoporosis

Gnana Priya G, A. Sabarmathi
4 links
Metallurgical and Materials Engineering
Bone health and osteoporosis research
article

A Mathematical Model on Women's Osteoporosis

Gnana Priya G, A. Sabarmathi
article en

Abstract

In this paper, a mathematical model of women's osteoporosis is formulated. Three control parameters used such as diet with exercise, nutrition intake and medication. The equilibrium analysis is performed. The boundedness and positiveness of the osteoporosis models are performed. The local and global stability is studied using the R.H. criteria and Lyapunov's approach. The reproduction number of osteoporosis is calculated. The sensitivity analysis is performed for the model. Numerical simulations are performed to show the flow of the variables using MATLAB.

Metallurgical and Materials EngineeringVol. 31(4)
Sacred Heart College (IN)
Openalex Percentile: Top 88%
Bone health and osteoporosis research
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