Stochastic Formulation of Multiscale Model of Hepatitis B Viral Infections

The study investigates and analyzes certain qualitative properties of a stochastic dynamical multiscale model for hepatitis B viral infection. By formulating appropriate stochastic Lyapunov functions, the study derives sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions of the multiscale model. Additionally, the study establishes conditions under which the virus can be eradicated from the population. The findings indicate that low-intensity white noise guarantees a unique ergodic stationary distribution, while higher noise levels can result in viral extinction.