期刊论文

Li, Xiaoyue

英文

Applied Mathematics and Computation

0096-3003

2015

266

539-559

10.1016/j.amc.2015.05.083

The authors would like to thank the editor and the referee for their useful suggestions. They also wish to thank, for financial support, the National Science Foundation of China.

本校为第一机构

In this paper, we investigate the stochastic permanence and extinction of a stochastic ratio-dependent prey-predator model controlled by a Markov chain. In the permanent case we estimate the superior limit and the inferior limit of the average in time of the sample path of the solution. The boundaries are related to the stationary probability distribution of the Markov chain and the parameters of the subsystems. Finally, we illustrate our main results by two examples and some numer...