A New Fractional Order Mathematical Model of Obesity and Dynamic Effects

Zafer Öztürk

A New Fractional Order Mathematical Model of Obesity and Dynamic Effects

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

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Zafer Öztürk ^*
0000-0001-5662-4670
Türkiye

Publication Date

November 27, 2025

Submission Date

April 21, 2025

Acceptance Date

October 19, 2025

Published in Issue

Year 2025 Volume: 2 Number: 2

IZ

https://izlik.org/JA75FZ57DT

Cite

RIS / Bibtex

APA

Öztürk, Z. (2025). A New Fractional Order Mathematical Model of Obesity and Dynamic Effects. Natural Sciences and Engineering Bulletin, 2(2), 126-137. https://izlik.org/JA75FZ57DT

AMA

1.Öztürk Z. A New Fractional Order Mathematical Model of Obesity and Dynamic Effects. NASE. 2025;2(2):126-137. https://izlik.org/JA75FZ57DT

Chicago

Öztürk, Zafer. 2025. “A New Fractional Order Mathematical Model of Obesity and Dynamic Effects”. Natural Sciences and Engineering Bulletin 2 (2): 126-37. https://izlik.org/JA75FZ57DT.

EndNote

Öztürk Z (November 1, 2025) A New Fractional Order Mathematical Model of Obesity and Dynamic Effects. Natural Sciences and Engineering Bulletin 2 2 126–137.

IEEE

[1]Z. Öztürk, “A New Fractional Order Mathematical Model of Obesity and Dynamic Effects”, NASE, vol. 2, no. 2, pp. 126–137, Nov. 2025, [Online]. Available: https://izlik.org/JA75FZ57DT

ISNAD

Öztürk, Zafer. “A New Fractional Order Mathematical Model of Obesity and Dynamic Effects”. Natural Sciences and Engineering Bulletin 2/2 (November 1, 2025): 126-137. https://izlik.org/JA75FZ57DT.

JAMA

1.Öztürk Z. A New Fractional Order Mathematical Model of Obesity and Dynamic Effects. NASE. 2025;2:126–137.

MLA

Öztürk, Zafer. “A New Fractional Order Mathematical Model of Obesity and Dynamic Effects”. Natural Sciences and Engineering Bulletin, vol. 2, no. 2, Nov. 2025, pp. 126-37, https://izlik.org/JA75FZ57DT.

Vancouver

1.Zafer Öztürk. A New Fractional Order Mathematical Model of Obesity and Dynamic Effects. NASE [Internet]. 2025 Nov. 1;2(2):126-37. Available from: https://izlik.org/JA75FZ57DT