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中文摘要：
对植食性浮游动物摄食模型（仅对一个赤潮藻类）进行非线性分析，得出了该确定性参数方程的稳定性条件和发生Hopf分岔的条件，并且用数值模拟证实了理论分析。为更好的吻合实际情况，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能出现概周期解，更能体现藻类生长的季节性特点，与实际情况符合更好。
英文摘要：
Nonlinear analysis was carried out on to a phytoplankton Predator-prey model and the conditions of the stability and bifurcation was gained. Also, the numerical simulation results supported the theoretical analysis well. To fit the real conditions better, a parameter of the original model was changed to be a periodic function and numerical simulation was carried out. The results showed that new model has quasi-periodic solutions. So the new model can explain the phytoplankton seasonal blooms better.
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