||This talk is concerned about noise-induced extinction in two stochastic competition chemostat models. The first model involves two obligate mutualistic species feeding on a limiting substrate. And the second model is a turbidostat model in which two microorganism species compete for an inhibitory growth-limiting nutrient. In the deterministic case, these two models has a common dynamics: a coexistence equilibrium and the washout equilibrium can be simultaneously stable. In the stochastic case, a phenomenon of noise-induced extinction can be observed in both these two models. Namely, the stochastic trajectory near the deterministic coexistence equilibrium will tend to the washout equilibrium. Based on the stochastic sensitivity function technique, we construct the confidence ellipse and then estimate the critical value of the intensity for noise generating a transition from coexistence to extinction. Moreover, for the second model, we propose some feedback control strategies which can reduce the size of the confidence ellipse so that to prevent the noise-induced extinction.
||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。已在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。