A New Fractional Order Mathematical Model of Obesity and Dynamic Effects

Year 2025, Volume: 2 Issue: 2, 126 - 137, 27.11.2025

Zafer Öztürk

Abstract

Obesity is one of the most important health problems of developed and developing countries today. According to the World Health Organization, 1.9 billion people in the world are overweight and 600 million of them are obese. Obesity, which invites many negative health problems from diabetes to heart diseases, infertility to cancer, is a treatable disease. In this study, we performed the stability analysis by considering the fractional Obesity model. This model consists of three compartments as normal weight individuals ($S$), obese individuals ($O$) and recovered individuals ($R$). The fractional derivative is used in the sense of Caputo. Mathematical analyzes were made about the fractional Obesity model, numerical results were obtained with the help of Euler's method and graphs were drawn.

Keywords

Fractional Obesity Model , Mathematical Modeling , Euler Method , Caputo Derivative , Stability Analysis

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