“数理论坛”第63期： Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients

报告人：张同华教授(澳大利亚斯威本科技大学)

时间：7月12日（周四）14:30--15:30

地点：东区教学科研综合楼A座701

报告人简介：张同华博士，澳大利亚斯威本科技大学（Swinbunre）教授，应用数学专业博士生导师。在这之前工作于澳大利亚科廷大学（Curtin）化学工程系，从事教学科研工作。毕业于上海交通大学应用数学专业，从事微分方程定性理论及其应用的研究，特别是在工业和生物数学中的应用。主持多项国家级基金，出版专著一部，科研论文100余篇。

报告摘要：A stochastic model of turbidostat in which two microorganism species compete for an inhibitory growth-limiting nutrient is considered. In the deterministic case, the model has rich dynamics: a coexistence equilibrium and the washout equilibrium can be simultaneously stable, and a stable limit cycle may exist. In the stochastic case, a phenomenon of noise-induced extinction occurs. Namely, the stochastic trajectory near the deterministic coexistence equilibrium will tend to the washout equilibrium. Based on the stochastic sensitivity function technique, in this paper, we construct the confidence ellipse and then estimate the critical value of the intensity for noise generating a transition from coexistence to extinction. We also construct the confidence band to find the configurational arrangement of the stochastic cycle.