A New Fractional Order Mathematical Model of Obesity and Dynamic Effects

Zafer Öztürk

A New Fractional Order Mathematical Model of Obesity and Dynamic Effects

Öz

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.

Anahtar Kelimeler

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Uygulamalı Matematik (Diğer)

Bölüm

Araştırma Makalesi

Yazarlar

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

Yayımlanma Tarihi

27 Kasım 2025

Gönderilme Tarihi

21 Nisan 2025

Kabul Tarihi

19 Ekim 2025

Yayımlandığı Sayı

Yıl 2025 Cilt: 2 Sayı: 2

IZ

https://izlik.org/JA75FZ57DT

Kaynak Göster

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 (01 Kasım 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, c. 2, sy 2, ss. 126–137, Kas. 2025, [çevrimiçi]. Erişim adresi: 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 (01 Kasım 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, c. 2, sy 2, Kasım 2025, ss. 126-37, https://izlik.org/JA75FZ57DT.

Vancouver

1.Zafer Öztürk. A New Fractional Order Mathematical Model of Obesity and Dynamic Effects. NASE [Internet]. 01 Kasım 2025;2(2):126-37. Erişim adresi: https://izlik.org/JA75FZ57DT