Mathematical Modeling of Transmission Dynamics with Periodic Contact Rate and Control by Different Vaccination Rates of Hepatitis B Infection in Ghana
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Date
2021-10-14
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Asian Research Journal of Mathematics
Abstract
The paper evidenced that Hepatitis B infection is the world’s deadliest liver infection and
Vaccination is among the principal clinical strategies in fighting it. These have encouraged a lot
of researchers to formulate mathematical models to accurately predict the mode of transmission
and make deductions for better health decision-making processes. In this paper, an SEIR model
is used to model the transmission of the Hepatitis B infection with periodic contact rate and
examine the impact of vaccination. The model was validated using estimated data in Ghana
and simulated in a MATLAB environment. The results showed that the vaccination rate has a
great impact on the transmission mode of the Hepatitis B infection and the periodic contact rate
may lead to a chaotic solution which could result in an uncontrolled spreading of the infection.
It is concluded that even if the vaccination rate is 70%, the infection rate would reduce to the
minimum barest so more newborns must be vaccinated.
Description
This article is published by Asian Research Journal of Mathematics 2021 and is also available at 2456-477X
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Citation
Abubakar et al.; ARJOM