Demirci, Elif2022-12-272022-12-272022https://doi.org/10.31801/cfsuasmas.1103630http://hdl.handle.net/20.500.12575/86500In 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.enFractional order model, epidemic model, stability analysis, numerical simulationArticle7125665801303-5991