赤潮藻类营养盐限制方程的非线性动力学研究

Nonlinear Dynamics Behaviors of the Red Tide Algal Model with Nutrimental Limited Equation

以赤潮代表性藻类 -硅藻为研究对象 ,利用生物生长的生化机理 ,并考虑在海洋富营养化条件下氮和磷的浓度变化对藻类生长的影响及底物消耗和反馈机制 ,建立了新的藻类生长非线性动力学模型。首次利用现代非线性动力学的方法 ,研究了其解析解的分岔行为。指出了磷是影响藻类生长的限制营养盐因子 ,并对模型进行了仿真。文章对赤潮发生的预警和预测有一定的参考价值。

In this paper, the diatom is studied as the representative algal in the red tide. By utilizing the biochemical mechanism of the biology growth and combining with the effect of the variation of concentration of nitrogen and phosphor on the algae growth and the consume-feedback mechanism of the substance under ocean ultra-nutrition condition, a new nonlinear dynamics model of the algae growth is introduced. The method of the modern nonlinear dynamics is firstly used to discuss the bifurcation behaviors of the parse solution of the model equation. It is concluded that the phosphorus is the limiting nutrient factor of the algae growth. This paper offers a reliable theory base and guidance for the warning and prediction for the red tide occurrence.