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

Abstract

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.

Keywords

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

Supporting Institution

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

References

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Details

Primary Language

English

Subjects

Biological Mathematics

Journal Section

Research Article

Authors

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

Publication Date

August 31, 2025

Submission Date

May 23, 2024

Acceptance Date

December 18, 2024

Published in Issue

Year 2025 Volume: 7 Number: 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. NEJSE. 2025;7(2):214-227. https://izlik.org/JA79AF46TG

Chicago

Yavuz, Mehmet, Naime Büşra Bayraktar, Kübra Akyüz, and 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 (August 1, 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, and F. N. Özdemir, “A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model”, NEJSE, vol. 7, no. 2, pp. 214–227, Aug. 2025, [Online]. Available: 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 (August 1, 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. NEJSE. 2025;7:214–227.

MLA

Yavuz, Mehmet, et al. “A New Mathematical Model for Hepatitis-B and the Effect of Vertical Transmission in the Model”. Necmettin Erbakan University Journal of Science and Engineering, vol. 7, no. 2, Aug. 2025, pp. 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. NEJSE [Internet]. 2025 Aug. 1;7(2):214-27. Available from: 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

Abstract

Keywords

Supporting Institution

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

Abstract

Keywords

Supporting Institution

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

IZ

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