Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System

الملخص EN

This paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients.

By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent model is obtained.

Besides, some results are established such as the stochastically ultimate boundedness and stochastic permanence for this model.