报 告 人：吕翔 副教授

主 持 人：张晓颖

时    间：2019年9月17日 10：00-11：00

地    点：第三教学楼五楼大数据实验室

主办单位：理学院

报告人简介：吕翔，男，副教授。现主持国家自然科学基金面上项目一项，已完成国家自然科学基金青年项目一项，曾入选上海市青年科技英才“扬帆计划”和 上海市教委“晨光计划”，获得过上海市研究生优秀成果（博士学位论文）。目前主要研究方向：随机动力系统和随机微分方程，已经在SIAM Journal on Control and Optimization等国际权威期刊发表学术论文多篇。

观点综述：We investigate the dynamical behavior of pull-back trajectories for feedback systems with multiplicative noise and prove that there exists a globally stable positive random equilibrium in the nonnegative orthant $\mathbb{R}^d_+$, where the global stability means that all pull-back trajectories originating from nonnegative orthant converge to this positive random equilibrium almost surely. Our results can be applied to well-known stochastic Goodwin negative feedback system, Othmer-Tyson positive feedback system and Griffith positive feedback system as well as other stochastic cooperative, competitive and predator-prey systems. This is a joint work with Prof. Jifa Jiang.