Resumen de Stochastic Dynamics of a Two-Species Patch-System With Ratio-Dependent Functional Response

Xin Zhao, Zhijun Zeng

• In this paper, we analyze the features of a stochastically perturbed two-species predator-prey patch-system with ratio-dependent functional response. We first prove that the system which we investigate has a unique global positive solution. Then, the sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system are presented by establishing a series of suitable Lyapunov functions.