A FRACTIONAL ORDER MODEL OF HEPATITIS B TRANSMISSION UNDER THE EFFECT OF VACCINATION

---

Atıf İçin Kopyala

DEMİRCİ E.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, sa.2, ss.566-580, 2022 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 71 Sayı: 2
• Basım Tarihi: 2022
• Doi Numarası: 10.31801/cfsuasmas.1103630
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.566-580
• Anahtar Kelimeler: Fractional order model, epidemic model, stability analysis, numerical simulation, MATHEMATICAL-ANALYSIS, VIRUS, DYNAMICS, IMPACT
• Ankara Üniversitesi Adresli: Evet

Özet

In this paper we present a fractional order mathematical model to explain the spread of Hepatitis B Virus (HBV) in a non-constant population. The model we propose includes both vertical and horizontal transmission of the infection and also vaccination at birth and vaccination of the susceptible class. We also use a frequency dependent transmission rate in the model. We give results on existence of equilibrium points of the model and analyze the stability of the disease-free equilibrium. Finally, numerical simulations of the model are presented.