A stochastic viral infection model driven by Lévy noise

In this paper, we are interested in the study of a stochastic viral infection model with immune impairment driven by Lévy noise. First we prove the existence of a unique global solution to the model. By means of the Lyapunov method we study the stability of the equilibria. We present sufficient conditions for the extinction and persistence in mean. Furthermore, we present some numerical results to support the theoretical work.