题目：Break-even concentration and competitive exclusion principle in stochastic chemostat models
主讲人：原三领， 上海理工大学教授、博士生导师
时间：2020年11月24日，19:30-21:30
腾讯会议ID： 586 365 794
会议密码：201124
摘要：Real ecological systems are inevitably stochastic and usually affected by environmental noises. Considering the fact that the continuous culture of microorganism in the chemostat may be influenced by environmental noises. In this talk, I will introduce some stochastic chemostat models and their dynamics. For a simple chemostat model with white noise, we find that a defined stochastic break-even concentration can determine the destiny of microorganism, and the noise plays a negative role on the persistence of microorganism. For a simple chemostat model with telegraph noise, we find that the destiny of microorganism is completely determined by an average break-even concentration which depends on the probability distribution of the switching process. For the special and general competition chemostat models with white noises, we show that the competitive exclusion principle (CEP) holds, and the destinies can be exchanged between two microorganism species in the chemostat due to the white noise. All the theoretical results are illustrated by numerical simulations.
个人简介：
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4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、Bulletin of Mathematical Biology等国内外重要学术刊物上发表SCI论文80余篇。