中文摘要：

本文在假设湖泊受单一营养盐磷限制和不考虑湖底沉积物影响的情形下，建立了一个单层箱体磷循环的非线性动力学模型，研究湖泊中颗粒磷、可溶性磷和藻类中的磷这三种磷之间的相互关系，理论上分析了磷循环系统的稳定特性，得出三种形式的磷共存是系统趋向稳定的平衡点．然后论文又从人工治理的角度，通过数值计算综合考虑外源性磷、水力冲刷、生物调控和基质浓度因素对磷循环的影响，分析不同因素的改变对系统和湖泊水质的影响，进而对这一类的富营养化现象防治提供可行性的工程上的实际建议．

英文摘要：

Assumping the lake is P-limited and ignoring the effects of sediment, the paper proposes a one dimensional single-box phosphorus cycling model for the interactions among particulate phosphorus, dissolved reactive phosphorus and P in the alga. Nonlinear dynamics theory are used to investigate the model. Theoretical result shows that coexisting of three forms of phosphorus will dominate the dynamic trends of the system. For the sake of practical interests, numerical simulations are further carried out to reveal effects of the external phosphorus, hydraulic eroding, regulation of biology and nutrient concentrate on phosphorus cycling. The numerical results not only reveal how variations of different parameters influence the water quality of lakeg, but also shed new lights on industrial applications of controlling eutrophication.