Abstract: Using the theory of stochastic differential equations, we discussed  an Ebola infectious disease model with isolated compartments and animal compartments. We gave the threshold between extinction and persistence of infected animals within the animal subsystem of the model, as well as the conditions for persistence of the disease in the overall animal-human system, and proved the existence of  ergodic stationary distribution in the system. Finally, numerical simulations were conducted to validate the theoretical results. The  results show that it can form endemic diseases when the disturbance intensity is small, and it can lead to the extinction of disease when the disturbance intensity is large enough.

Key words: Ebola virus, Lyapunov function, Ito formula, stationary distribution