中文摘要：

基于Michaelis—Menten方程，利用非线性动力学理论对太湖淡水藻类生长特性进行了研究。通过数值模拟，研究了磷对藻类生长的影响，发现一定的初始磷浓度范围内，初始磷浓度越大，藻类生物量峰值越大且达到峰值浓度的时间越短；藻类生物量最大值受最初现存量影响，首次达到峰值浓度的时间随最初现存量增加而提前，再次达到峰值浓度的时间和最初现存量多少并无关联；藻类死亡率改变，系统性质发生改变，表现在磷浓度和藻类生物量随时间改变历程及最终的稳定状态不同等方面。由此得出结论：藻类生长过程存在稳定状态，且该状态和系统初值无关，当系统参数发生改变时，稳定状态随之改变。

英文摘要：

Based on the equation of Michaelis-Menten, the theory of nonlinear system was used to study the characteristic of freshwater algae in Tat Lake. Numerical study was used to research the effects of phosphorus on the growth of algae. It was found that within determinate initial value of phosphorus, the more the initial value of concentration of phosphorus, the more the biomass of algae and the sooner it reached the peak value. Via numerical study, we also found that the more the standing crop biomass, the sooner it reached the first peak value, but the time reached the peak value again was independent of the standing crop biomass. When the mortality of algal was changed, the character of the system was changed too, because the variation of concentration of phosphorus and the biomass of algae with time and the final stabile state of those were changed. The conclusion was that there was a stabile state while the growth of algal, the state was independent of the initial value of the system, but it was changed when the parameter of the system changed.