Hepatitis b infection and its control: Deterministic & stochastic analysis

Abstract

This article concentrates on the analysis of HBV infection with susceptible, asymptomatic, chronic, hepatocellular carcinoma developed, compensated cirrhosis developed, decompensated cirrhosis developed and recovered individuals. Global stability of disease free equilibrium in terms of reproduction number (R0) is analyzed. Persistence of the disease is studied. Through numerical simulations we validate the results. The effect of environmental fluctuations is also addressed in the model system by numerical simulations which suggest that the system is robust under stochastic perturbation.