Abstract:
This article discusses the stability analysis of the fractional order model for HBV
infection with cure of infected cells. Based on the analysis of the model, two
equilibrium points are obtained, namely the disease free equilibrium point and the
endemic equilibrium point. In addition, a basic reproduction number of R0 is
obtained which determines the stability of the equilibrium points. The disease-free
equilibrium point is locally asymptotically stable when R0 < 1, while the endemic
equilibrium point is asymptotically stable locally when R0 > 1. Numerical
simulations using the PECE method are carried out by varying the fractional order
value of 2 (0, 1), which aims to determine the dynamical spread of HBV infection
by curing in infected cells. The results of this study indicate that in the cases of
fractional order, the peak of infection is reduced, but this disease takes longer to
eradicate.
