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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:71 Issue:2
A fractional order model of hepatitis B transmission under the effect of vaccination

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

Authors : Elif DEMİRCİ

Pages : 566-580

Doi:10.31801/cfsuasmas.1103630

View : 16 | Download : 8

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In this paper we present a fractional order mathematical model to explain the spread of Hepatitis B Virus insert ignore into journalissuearticles values(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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