In order to study the influence of uncertain factors on hepatitis C in reality

a randomized SICR hepatitis C model with acute and chronic infection was considered. Firstly

the existence and uniqueness of global positive solutions are proved according to the stopping time theory; secondly

by constructing Lyapunov function and combining Ito formula

the oscillation behavior of the solution of the stochastic model near the disease-free equilibrium point and the positive equilibrium point of the model is discussed

and then the sufficient conditions for the average persistence and disease extinction of the solution of the stochastic model are given. Finally

the numerical simulation considers the influence of noise on the model. The results show that the stochastic model is disturbed near the equilibrium point of the determined model

and the disturbance intensity is positively correlated with the noise intensity. Moreover

the noise is large enough to make the disease extinct

which further confirms the theoretical results.