| Popis: |
In this paper, we investigate a reaction-diffusion hepatitis B virus (HBV) infection model with mean-reverting Ornstein-Uhlenbeck process. For the model, the existence and uniqueness of the positive solution are proved, and the sufficient conditions is given of stationary distribution of solution. Finally, the existence of the stationary distribution is verified by numerical simulation, and the influence of noise intensity on disease was given. At the same time, it can also be observed that infected cells and viruses are susceptible to stochastic factors. Therefore, in order to better control the development of the disease, external interference of viruses and infected cells can be avoided or reduced as much as possible. |
