Dynamical analysis for a stochastic Ebola virus epidemic model with age-structured effect

For reasons that the cadavers infected with Ebola are contagious and infectivity varies with age, we establish an Ebola virus epidemic model with stochastic perturbation and age structure. First, by constructing a appropriate Lyapunov functions and then applying Ito's formula, the existence and uniqueness of global positive solution of this stochastic model are derived. Moreover, studied the existence of a sole stationary distribution that leads to the threshold Rs₀ , it reflects whether the disease is spreading. If s 0 R  1 , the disease disappears, and when Rs₀ 1, the disease will be prevalent for a long time. In addition, we give some sufficient conditions for disease extinction. At last, numerical simulation verifies the feasibility for the model.