Abstract:For a Holling II predator-prey model with time-related coefficients and two parameters perturbation, some dynamical behaviors of the model are discussed. In order to research the long-term dynamic characteristics of the model, the existence and uniqueness of the positive solution is proved by using contradiction to ensure the stability of the positive solution of the model, and then, by constructing Lyapunov function, and using It formula and Chebyshev inequality, stochastic ultimate boundedness of the model is explored, which ensures that the system is reasonable. Thus, the continuity and permanence of the system can be further considered, and by using discrete Hlder inequality and the moment inequality and other stochastic differential inequalities, uniformly Hlder-continuous and stochastic permanence of the system is obtained. Moreover, the sufficient conditions for the system to be extinct are given by using exponential martingale inequality and Borel-Cantelli lemma. At last, some numerical simulations are introduced to verify the correctness of the theoretical results.