A Mathematical Model of the Dynamics of Hepatitis B Virus (HBV) Infection with Controls

Edmund Onwubiko Ezennorom; Godwin C. E. Mbah; Titus Ifeanyi Chinebu

Title:
A Mathematical Model of the Dynamics of Hepatitis B Virus (HBV) Infection with Controls

Authors:
Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | Godwin C. E. Mbah
DOI:
https://doi.org/10.31142/ijtsrd18164

Cite This Article :

Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | Godwin C. E. Mbah "A Mathematical Model of the Dynamics of Hepatitis B Virus (HBV) Infection with Controls" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5, August 2018, pp.1654-1677, URL: https://www.ijtsrd.com/papers/ijtsrd18164.pdf

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Abstract :
In this model we study the dynamics and control of hepatitis B virus (HBV) infection which is a major health problem worldwide by considering condom, vaccination and treatment as control measures. Initially we determined the basic reproduction number R_0 for the model and observe that once R_0<1, the disease free equilibrium will be stable and HBV infection can be controlled using the three control measures and we also study the solution of the endemic equilibrium point of the model. Next we take the sensitivity analysis of the basic reproduction number of HBV infection and obtain that the endemicity of the infection will reduce with the controls. Finally, the numerical simulation result shows that combination of condom, vaccination and treatment is the most effective way to control hepatitis B infection.

Keywords :
Mathematical model, HBV Infection, HBV Control, Condom, Vaccination, Treatment

Publication Details:

Unique Identification Number : IJTSRD18164

Published In : Volume-2 | Issue-5, August 2018

Page Number(s) : 1654-1677

Publisher Name : IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470

Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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