A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model

Mehmet Yavuz; Naime Büşra Bayraktar; Kübra Akyüz; Feyza Nur Özdemir

TR EN

A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model

Öz

In this paper, a new mathematical model of Hepatitis B is constructed to investigate the dynamics of the transmission of the Hepatitis virus. The model is developed by considering the vertical transmission. In the model, susceptible, latent, acute, carrier, recovered, and vaccinated populations are taken into account. Moreover, positivity is performed, and disease-free equilibrium point is calculated. Finally, the numerical results and their biological interpretations are performed to estimate the future directions of the disease.

Anahtar Kelimeler

Hepatitis-B virus, Mathematical modeling, Migration factor, Vertical transmission

Destekleyen Kurum

This research was supported by Scientific and Technological Research Council of Türkiye (TÜBİTAK) under the undergraduate research project.

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Biyolojik Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Mehmet Yavuz ^*
0000-0002-3966-6518
Türkiye

Naime Büşra Bayraktar
0000-0001-7584-437X
Türkiye

Kübra Akyüz
0009-0006-6642-1117
Türkiye

Feyza Nur Özdemir
0000-0001-7803-7725
Türkiye

Yayımlanma Tarihi

31 Ağustos 2025

Gönderilme Tarihi

23 Mayıs 2024

Kabul Tarihi

18 Aralık 2024

Yayımlandığı Sayı

Yıl 2025 Cilt: 7 Sayı: 2

IZ

https://izlik.org/JA79AF46TG

APA

Yavuz, M., Bayraktar, N. B., Akyüz, K., & Özdemir, F. N. (2025). A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model. Necmettin Erbakan University Journal of Science and Engineering, 7(2), 214-227. https://izlik.org/JA79AF46TG

AMA

1.Yavuz M, Bayraktar NB, Akyüz K, Özdemir FN. A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model. NEU Fen Muh Bil Der. 2025;7(2):214-227. https://izlik.org/JA79AF46TG

Chicago

Yavuz, Mehmet, Naime Büşra Bayraktar, Kübra Akyüz, ve Feyza Nur Özdemir. 2025. “A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model”. Necmettin Erbakan University Journal of Science and Engineering 7 (2): 214-27. https://izlik.org/JA79AF46TG.

EndNote

Yavuz M, Bayraktar NB, Akyüz K, Özdemir FN (01 Ağustos 2025) A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model. Necmettin Erbakan University Journal of Science and Engineering 7 2 214–227.

IEEE

[1]M. Yavuz, N. B. Bayraktar, K. Akyüz, ve F. N. Özdemir, “A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model”, NEU Fen Muh Bil Der, c. 7, sy 2, ss. 214–227, Ağu. 2025, [çevrimiçi]. Erişim adresi: https://izlik.org/JA79AF46TG

ISNAD

Yavuz, Mehmet - Bayraktar, Naime Büşra - Akyüz, Kübra - Özdemir, Feyza Nur. “A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model”. Necmettin Erbakan University Journal of Science and Engineering 7/2 (01 Ağustos 2025): 214-227. https://izlik.org/JA79AF46TG.

JAMA

1.Yavuz M, Bayraktar NB, Akyüz K, Özdemir FN. A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model. NEU Fen Muh Bil Der. 2025;7:214–227.

MLA

Yavuz, Mehmet, vd. “A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model”. Necmettin Erbakan University Journal of Science and Engineering, c. 7, sy 2, Ağustos 2025, ss. 214-27, https://izlik.org/JA79AF46TG.

Vancouver

1.Mehmet Yavuz, Naime Büşra Bayraktar, Kübra Akyüz, Feyza Nur Özdemir. A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model. NEU Fen Muh Bil Der [Internet]. 01 Ağustos 2025;7(2):214-27. Erişim adresi: https://izlik.org/JA79AF46TG

A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model

Hepatit-B İçin Yeni Bir Matematiksel Model ve Modelde Dikey Bulaşın Etkisi

Öz

Anahtar Kelimeler

Destekleyen Kurum

A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model

Öz

Anahtar Kelimeler

Destekleyen Kurum

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

IZ

Kaynak Göster