报告题目：Break-even concentration and Competition exclusion principle in stochastic chemostat models

报告人：原三领（上海理工大学教授、博导）      

报告时间：10月3日8：30-9：30

报告地点：555000jc线路检测中心文科楼222

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) also 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.

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硕士点学科带头人，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、2项上海市教委项目（其中1项为重点）和1项上海市教委自然基金项目的研究工作。研究内容涉及常微分方程（脉冲微分方程、泛函微分方程、随机微分方程）定性与稳定性理论、分支理论、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。曾多次到国内和国际多所高校访问进修和做访问学者，已在《Journal of Mathematical Biology》、《Mathematical Biosciences》、《CHAOS》、《Nonlinear Analysis: Real World Applications》、《Bulletin of Mathematical Biology》等国内外重要学术刊物上发表论文80余篇，其中SCI收录50余篇。

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