A fractional order model of hepatitis B transmission under the effect of vaccination

Year 2022, Volume: 71 Issue: 2, 566 - 580, 30.06.2022

Elif Demirci

https://doi.org/10.31801/cfsuasmas.1103630

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.

Keywords

Fractional order model, epidemic model, stability analysis, numerical simulation

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