在对一个营养盐和赤潮藻类摄食模型进行非线性分析的基础上,提出了含有变参数的赤潮藻类生长模型。模型中用一个周期阶跃函数来近似模拟了藻类生长率参数,并对此模型做了数值模拟。结果表明,引入变参数后的模型更能体现藻类生长的季节性特点,和实际情况符合更好。
A more reliable seasonal nutrient phytoplankton nonlinear dynamical model was built to help understand the dynamics of algae blooms. Different from some similar nutrient phytoplankton models with invariable parameters, this model was built with a variable parameter approximated by a step-function. So it fixes the true aquatic ecosystem better. We discussed the equilibriums of the model in phase space to analyze the mechanism of the bloom recurrence. And some complicated nonlinear behaviors of the model were observed.