亚热带水库藻类种群脉冲切换富营养化动力学模型研究

The eutrophication problem has become increasingly serious in China''s subtropical reservoir, it is very possible to arouse the outbreak of algal bloom under the condition of eutrophication, and the outbreak of algal bloom can harm reservoir water quality. Hence, the cause of eutrophication and prediction-warning of algal bloom for the subtropical reservoir have been aroused widespread concern. Further, it should be stressed that the research on the outbreak mechanism of algal bloom is particularly urgent and necessary by the view of the subtropical reservoir algae population growth kinetics. Moreover, the eutrophication research trend is to human control and environmental factors as an organic whole to be studied. This is because the response coming from the relative stability of reservoir water quality and environmental change depends on the contact with human control and environmental factors. Hence, the integration of human control and environmental factors is considered to be an effective way to study reservoir eutrophication. Based on the above, an impulsive switched eutrophication dynamics model is established to study the associated mechanism of human control and environmental factors and reservoir eutrophication, and to find some effective strategies of controlling the outbreak of algal bloom for subtropical reservoir.

我国亚热带水库富营养化严重，藻类在水体富营养化的条件下爆发藻类水华的可能性大，若爆发藻类水华将对水库水体质量产生严重危害，因此亚热带水库水体富营养化形成原因与藻类水华预测预警问题引起了普遍关注，特别是从亚热带水库藻类种群生长动力学角度研究亚热带水库藻类水华爆发机理显得尤为迫切和必要。此外水库水体富营养化问题研究发展的趋势是把人为调控和环境因素作为一个有机整体进行关联研究，水库水体质量的相对稳定性对环境变化的响应依赖于人为调控与环境因素的紧密联系，因而人为调控与环境因素的整合目前被认为是研究水库水体富营养化问题的有效途径。所以本项目拟通过建立脉冲切换富营养化动力学模型，研究人为调控和环境因素与水库水体富营养化之间的关联机理，寻找有效控制亚热带水库藻类水华爆发的策略。

本项目研究的内容是亚热带水库藻类种群脉冲切换富营养化动力学模型。研究的目标是基于亚热带温州泽雅水库建立一类脉冲切换富营养化动力学模型，从藻类种群生长动力学的角度出发，阐明模型动力学性态与亚热带水库藻类水华生消机制的的关系。在本项目的资助下，我们圆满的完成了预期目标，相关结果发表在《Journal of the Franklin Institute》、《Mathematics and Computers in Simulation》、《Mathematical Problems in Engineering》和《Entropy》等杂志上，特别地，我们对来源于实际数据的脉冲切换富营养化模型提出一定系统的建模方法与思想。