2022威廉希尔非线性分析、微分方程与动力系统报告

报告题目：分层湖泊中浮游植物时空分布的数学模型研究

报告人：张继民 教授黑龙江大学

照片：

邀请人：白振国

报告时间：2022年11月15日（周二）下午14：30-16：00

腾讯会议ID：819-152-015

报告人简介：张继民，黑龙江大学教授，博士生导师，九三学社社员，2010年博士毕业于东北师范大学，2011年于吉林大学从事博士后研究工作，2016年和2019年访问美国威廉玛丽学院。主要从事生物数学，微分方程理论分析等方面的研究工作，主持国家自然科学基金，黑龙江省自然科学基金，中国博士后基金等项目10余项。在Journal of Nonlinear Science, Journal of Statistical Physics, Journal of Mathematical Biology, Mathematical Biosciences, Bulletin of Mathematical Biology, Journal of Dynamics and Differential Equations等发表学术论文40余篇。

报告摘要：Phytoplankton (algae) are the basis of aquatic ecosystem and play an important role in energy flow and material cycle. Most lakes on Earth are stratified. Lakes are generally divided into two layers:pelagic layer and benthic layer. Stratification separates pelagic layer with a horizontal plane called thermocline into two zones: epilimnion and hypolimnion. Several mathematical models connecting pelagic layer and benthic layer or epilimnion and hypolimnion are proposed to describe the competition of phytoplankton for nutrients and light in a stratified lake. The existence and stability of nonnegative steady-state solutions are completely characterized for all possible parameter ranges by means of stability analysis, bifurcation theory and extensive simulations. We also consider the influence of environmental factors on the vertical distribution and biomass density of phytoplankton via a systematic sensitivity analysis,and investigate their roles in phytoplankton blooms. These results can be used for the prediction of phytoplankton competition and blooms in a stratified lake.

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