A fractional order model of hepatitis B transmission under the effect of vaccination
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Date
2022
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Ankara Üniversitesi
Abstract
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.
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Keywords
Fractional order model, epidemic model, stability analysis, numerical simulation