Mathematical Analysis of the Impact of Vaccination on Hbv Treatment Dynamic

Student: Dorathy Okon Ansa (Project, 2025)
Department of Applied Mathematics With Statistics
Cross Rivers University of Technology, Calabar, Cross Rivers State

Abstract

In this study, a sixdimensional mathematical model has been formulated to investigate the application of vaccination in the study of mathematical analysis of the impact of vaccination on Hepatitis B virus. In the presence of designated vaccination. Extending existing studies, the present investigation formulated and restructured a 6dimensional Hepatitis B Virus dynamic mathematical model. The model not only investigated the mathematical and epidemiological composition of derived model but accounted for methodology combination of control function and vaccination. The concept of CauchyLipschitz condition was explored for determination of existence and uniqueness of system solution. A classical rejuvenation of infection was accomplished following the methodological implementation of control function and vaccination of both the immunized and carriers. The study is highly recommended for Hepatitis B Virus related cases of infection.

Keywords
Hepatitis-B immunized sixdimensional chronic dynamic vaccination epidemiology carriers
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