报告人：李晓月（东北师范大学）

报告题目： Permanence and Ergodicity of Stochastic Gilpin-Ayala Model

报告摘要： This work is concerned with permanence and ergodicity of stochastic Gilpin-Ayala models involve continuous states as well as discrete events. A distinct feature is that the Gilpin-Ayala parameter and its corresponding perturbation parameter are
allowed to be varying randomly in accordance with a random switching process.Necessary and sufficient conditions of the stochastic permanence and extinction are established,which are much weaker than the previous results. The existence of the unique stationary distribution is also established. Our approach treats much wider class of systems,uses much weaker conditions, and substantially generalizes previous results.It is shown that regime switching can suppress the impermanence. Furthermore, several examples and simulations are given to illustrate our main results.

报告时间：2017年6月26日（星期一）下午2：00--3：00
报告地点：科技楼南楼702