ANALISIS KESTABILAN MODEL INFEKSI HBV ORDE FRAKSIONAL DENGAN PENYEMBUHAN PADA SEL YANG TERINFEKSI

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.