江苏省应用数学（中国矿业大学）中心系列学术报告
报告时间：2026.4.16 13:30-15:30
报告地点：数学学院A321
报 告 人：原三领教授（上海理工大学）
报告题目：Asymptotic and transient dynamics of a stoichiometric algal growth model with two-stage phosphate uptake
摘 要：
Exploring the mechanism of phosphate ($\rm P_i$) uptake by algae is crucial for accurate prediction and a comprehensive understanding of harmful algal blooms (HABs). Previous experimental studies have revealed the existence of two distinct $\rm P_i$ pools, namely surface-adsorbed $\rm P_i$ pool and intracellular $\rm P_i$ pool, in certain species of algae. Motivating by these observations, a novel stoichiometry model, which incorporates a two-stage $\rm P_i$ uptake process, is proposed and analyzed to investigate the impact of these $\rm P_i$ pools on algal growth. Model validation results show that with proper parameterization, this model can accurately capture algal growth dynamics in the laboratory and in the field. The asymptotic dynamics are explored through a complete mathematical analysis and the transient dynamics are explored through multi-scale analysis, revealing the driving mechanism of different growth phases of algae. Furthermore, we derive an approximate formula for estimating the switching time from high to low growth rates in algae, which can serve as a valuable tool for predicting the duration of HABs. These findings contribute to enhancing prediction and improving understanding of HABs.
报告人简介：
原三领，上海理工大学教授，博士生导师，中国数学会生物数学专业委员会副主任。研究方向为:微分方程与动力系统、生物数学。曾先后主持多项国家自然科学基金面上项目和上海市项目的研究工作。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，在SIAM Journal on Applied Mathematics、Journal of Mathematical-Biology、Journal of Differential-Equations等国内外重要学术刊物上发表SCI论文150余篇。