学术报告Modelling and analysis on the dynamics of algal growth with stoichiometric constraints and environmental fluctuations
报 告 人：
Modelling and analysis on the dynamics of algal growth with stoichiometric constraints and environmental fluctuations
University of Shanghai for Science and technology
Stoichiometric algal growth models are nonsmooth due to the Liebig's Law of Minimum and can generate new dynamics such as bistability for producer-grazer interactions. Environmental noises can be extremely important and change dynamical behaviors of a stoichiometric algal growth model. This talk involves two of our recent works on this respect. The first one is about the phenomena of noise-induced state switching between two stochastic attractors in a stochastically forced producer-grazer model. Namely, there is a frequent random hopping of phase trajectories between attracting basins of the attractors. The second is about the threshold dynamics in a stochastic algal growth model with the explicit incorporation of season-dependent light and nutrient availability. We also explore the effective way to inhibit algal blooms. The obtained results indicate that compared with removing algae periodically, blocking nutrient input from rivers constantly seems to be a more effective way to inhibit algal blooms with or without considering the environmental fluctuations, and the minimum blocking rate for successful inhibition of the stochastic system should be larger than the deterministic one.
原三领，教授，博士生导师，上海理工大学应用数学学科负责人，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4项国家自然科学基金面上项目、3项上海市教委项目的研究工作。研究内容涉及微分方程与动力系统、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。曾多次受邀到国内和国际多所高校进行合作研究和学术交流。已在Journal of Differential Equations、Journal of Mathematical Biology、Bulletin of Mathematical Biology、Journal of Theoretical Biology等国内外重要学术刊物上发表SCI论文90余篇。