Abstract:
Abstract
In this project, we have studied a mathematical model of the dynamics of HBV infection and
applied on pregnant women in West Gojjam administrative zone using deterministic SIR
mathematical model. We estimated the transmission rate () =3.72 and the basic reproductive
number R
0
=3.85 for chose of A = =0.015and R
=3.11 for chose of A = =0.248. According
to the results of this project, whenever the transmission rate parameter value is increased, R
0
> 1,
the disease-free equilibrium is unstable and the endemic equilibrium is stable , but when the
transmission rate parameter value is reduced, R
<1, the endemic equilibrium is unstable and
disease-free equilibrium is stable. Numerical simulations are also performed using MATLAB to
understand the behavior and the future dynamics of HBV infection of pregnant women in West
Gojjam administrative zone.
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