Analysis of a Model for the Dynamics of Hepatitis B with Noncytolytic Loss of Infected Cells∗

We consider the basic model of virus dynamics with noncytolytic loss of infected cells for the infection with viral hepatitis B. Stability of the infection-free steady state and existence, uniqueness and stability of the infected steady state is investigated. The stability results are given in terms of the basic reproductive number R0. Here, we perform the global stability analysis using two techniques, the method of Lyapunov functions and the theory of competitive three dimensional systems. We shall use suitable linear combinations of known functions, common quadratic, composite quadratic and Volterra-type functions, for obtain a suitable Lyapunov function for each steady state. Numerical simulations are presented to illustrate the results.