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

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

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

https://doi.org/10.31142/ijtsrd18164

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

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.

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

IJTSRD18164
Volume-2 | Issue-5, August 2018
1654-1677
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470