中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人：马万彪 教授（北京科技大学）
题 目：Theoretical analysis of a class of dynamic model describing growth of Algae
时 间：12.15（星期二）, 16:00--17:00
地 点：数学院南楼N913室
摘要:
Based on "Liebig’s law of the minimum" and standard chemostat model with one species of microorganism and two types of nutrients (nitrogen source and phosphorus source), a class of dynamic model describing growth of Algae is proposed. In the model, the effect of the resource ratios on the growth of the microorganism is considered. First, the existence of the equilibria is discussed in details. Then, the conditions for stability of the equilibria and existence of Hopf bifurcation are given. Finally, by numerical simulations, the parameters in the model are determined. It is shown that the trajectories of the model fit the experimental data quite well.
