主題：Break-even Concentration and Competitive Exclusion Principle in Stochastic Chemostat Models
主要內容：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.
專家姓名：原三領
工作單位：上海理工大學
專長和學術成就：主要從事微分方程與動力系統、種群動力學、流行病動力學、海洋生態學以及生物化學工程等諸多領域的研究，具有多學科交叉的特點。
專家簡介：原三領，教授，博士生導師，上海理工大學應用數學學科負責人，中國數學會生物數學學會常務理事，美國《Mathematical Reviews》評論員。研究方向為：微分方程與動力系統、生物數學。曾先后主持4項國家自然科學基金面上項目、3項上海市教委項目的研究工作。研究內容涉及微分方程與動力系統、種群動力學、流行病動力學、海洋生態學以及生物化學工程等諸多領域，具有多學科交叉的特點。曾多次受邀到國內和國際多所高校進行合作研究和學術交流。已在Journal of Differential Equations、Journal of Mathematical Biology、Journal of Theoretical Biology、Bulletin of Mathematical Biology等國內外重要學術刊物上發表SCI論文80余篇。
時間：2020-11-24 19:30:00
地點：騰訊會議ID：586 365 794