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Stationary Distribution of Stochastic Population Dynamics in State-Dependent Random Environments
时间:2021年10月24日 15:17 点击数:

报告人:席福宝

报告地点:腾讯会议ID:591389197

报告时间:2021年10月25日星期一9:30-10:30

邀请人:杨青山

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.

主讲人简介:

席福宝,北京理工大学教授,博士生导师。担任中国概率统计学会理事,中国工程概率统计学会常务理事,美国《Math. Reviews》评论员。主要从事马氏过程与随机分析领域的研究工作,特别地,关于含小参数的切换扩散过程的大偏差,切换跳扩散过程的随机稳定性、Feller性、强Feller性、指数遍历性、强遍历性以及收敛速度估计等方面,取得了一系列重要研究成果;在SIAM Journal on Control and Optimization, Stochastic Processes and their Applications, Journal of Differential Equations, Journal of Applied Probability, Science China Mathematics等国内外重要学术期刊上发表论文50余篇。

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