Cilt:71 Sayı:02 (2022)

Permanent URI for this collection

https://dspace.ankara.edu.tr/handle/20.500.12575/86253

Browse

Browsing Cilt:71 Sayı:02 (2022) by Subject "Fractional order model, epidemic model, stability analysis, numerical simulation"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    A fractional order model of hepatitis B transmission under the effect of vaccination
    (Ankara Üniversitesi, 2022) Demirci, Elif; Matematik; Fen Fakültesi
    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.