主題：Break-even Concentration and Competitive Exclusion Principle in Stochastic Chemostat Models
主要內(nèi)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(lǐng)
工作單位：上海理工大學(xué)
專長和學(xué)術(shù)成就：主要從事微分方程與動(dòng)力系統(tǒng)、種群動(dòng)力學(xué)、流行病動(dòng)力學(xué)、海洋生態(tài)學(xué)以及生物化學(xué)工程等諸多領(lǐng)域的研究，具有多學(xué)科交叉的特點(diǎn)。
專家簡介：原三領(lǐng)，教授，博士生導(dǎo)師，上海理工大學(xué)應(yīng)用數(shù)學(xué)學(xué)科負(fù)責(zé)人，中國數(shù)學(xué)會(huì)生物數(shù)學(xué)學(xué)會(huì)常務(wù)理事，美國《Mathematical Reviews》評論員。研究方向?yàn)椋何⒎址匠膛c動(dòng)力系統(tǒng)、生物數(shù)學(xué)。曾先后主持4項(xiàng)國家自然科學(xué)基金面上項(xiàng)目、3項(xiàng)上海市教委項(xiàng)目的研究工作。研究內(nèi)容涉及微分方程與動(dòng)力系統(tǒng)、種群動(dòng)力學(xué)、流行病動(dòng)力學(xué)、海洋生態(tài)學(xué)以及生物化學(xué)工程等諸多領(lǐng)域，具有多學(xué)科交叉的特點(diǎn)。曾多次受邀到國內(nèi)和國際多所高校進(jìn)行合作研究和學(xué)術(shù)交流。已在Journal of Differential Equations、Journal of Mathematical Biology、Journal of Theoretical Biology、Bulletin of Mathematical Biology等國內(nèi)外重要學(xué)術(shù)刊物上發(fā)表SCI論文80余篇。
時(shí)間：2020-11-24 19:30:00
地點(diǎn)：騰訊會(huì)議ID：586 365 794