“数理论坛”第130期：Noise-induced transitions in a non-smooth producer-grazer model with stoichiometric constraints

报告题目

Noise-induced transitions in a non-smooth producer-grazer model with stoichiometric constraints

报告时间

2019年11月22日下午16：30-18：00

报告地点

东区综合楼A栋1404

报告人

原三领（上海理工大学教授）

报告人

简介

原三领，教授，博士生导师，上海理工大学应用数学学科负责人，中国数学会生物数学学会常务理事，美国《Mathematical Reviews》评论员。研究方向为：微分方程与动力系统、生物数学。曾先后主持3项国家自然科学基金面上项目、3项上海市教委项目的研究工作。研究内容涉及微分方程与动力系统、种群动力学、流行病动力学、海洋生态学以及生物化学工程等诸多领域，具有多学科交叉的特点。曾多次受邀到国内和国际多所高校进行合作研究和学术交流。已在Journal of differential equations、Journal of Mathematical Biology、Journal of Theoretical Biology等国内外重要学术刊物上发表SCI论文70余篇。

报告摘要

Stoichiometric producer-grazer models are nonsmooth due to theLiebig's Law of Minimum and can generate new dynamics such asbistability for producer-grazer interactions. Environmental noises canbe extremely important and change dynamical behaviors of astoichiometric producer-grazer model. In this paper, we consider astochastically forced producer-grazer model and study the phenomena ofnoise-induced state switching between two stochastic attractors inthe bistable zone. Namely, there is a frequent random hopping ofphase trajectories between attracting basins of the attractors. Inaddition, by applying the stochastic sensitivity function technique,we construct the confidence ellipse and confidence band to find theconfigurational arrangement of equilibria and a limit cycle,respectively.

邀请人

黄刚

2019年11月20日

学院

审核意见

年月日