报告人:  席福宝（北京理工大学)

邀请人：吴付科

报告时间：2021年5月3日(星期一)16:00-18:00

报告地点：科技楼(南楼)611

报告题目：Stationary Distribution of Stochastic Population Dynamics in State-Dependent Random Environments

报告摘要：This work studies the stationary distribution of stochastic Lotka-Volterra population dynamics in state-dependent random environments. We first use the stochastic comparison approach to handle the difficulty caused by the state-dependent regime-switching. Then the ergodic property and positive recurrence are investigated by the theory of $M$-matrix under small perturbation. The mean of the stationary distribution is also estimated. At last, the main results are illustrated by a numerical example. This is a joint work with Huijie Ji.

报告人简介：席福宝，北京理工大学数学与统计学院教授，博士生导师；主要从事马氏过程与随机分析领域的研究；特别地，关于含小参数的切换扩散过程的大偏差, 关于切换跳扩散过程的稳定性、Feller性、强Feller性、指数遍历性和强遍历性等方面，取得了一些重要研究成果；部分论文发表在SIAM Journal on Control and Optimization, Stochastic Processes and their Applications, Journal of Applied Probability, Science China Mathematics等国内外重要学术期刊上。