STABILITY ANALYSIS OF A STOCHASTIC VIRAL INFECTION MODEL WITH IMMUNE IMPAIRMENT AND VARIABLE DIFFUSION RATE

Abstract

In this paper, we consider the stochastic viral infection model with immune impairment and variable diffusion rate. We prove the global existence of unique strong solution. Using the Lyapunov method, we find sufficient conditions for the stochastic asymptotic stability of equilibrium solutions of this model. Finally, establish the existence of a unique ergodic stationary distribution and illustrate our results.