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渤海赤潮藻类生态动力学模型的非线性动力学研究
引用本文:王洪礼,冯剑丰,沈菲.渤海赤潮藻类生态动力学模型的非线性动力学研究[J].海洋技术,2002,21(3):8-12.
作者姓名:王洪礼  冯剑丰  沈菲
作者单位:天津大学机械工程学院,天津,300072
基金项目:教育部科学技术研究重点项目及天津市重大科技攻关项目的资助
摘    要:基于渤海典型赤潮藻类——中肋骨条藻 ,考虑浮游动物的捕食、光照及营养物质的作用 ,建立了渤海湾的浮游动物—藻类—营养物质三者的动力学模型。运用现代非线性动力学理论着重分析了模型的稳定性及分岔行为。研究了多个参数对藻类生长的影响 ,发现某些参数对藻类的生长影响不大 ,而某些参数则会致使藻类模型出现分岔乃至混沌行为 ,并给出了这些参数的阀值 ,这与赤潮的形成 (爆发性增殖 )密切相关 ;并根据渤海湾的赤潮数据进行了有效的数值模拟 ,所得结果对于研究赤潮的形成机理有一定的参考价值

关 键 词:赤潮  非线性动力学  稳定性  分岔  混沌
文章编号:1003-2029(2002)03-0008-05

Nonlinear Dynamics Research of the Algal Model in Bohai Sea
Wang Hongli Feng Jianfeng,Shen Fei.Nonlinear Dynamics Research of the Algal Model in Bohai Sea[J].Ocean Technology,2002,21(3):8-12.
Authors:Wang Hongli Feng Jianfeng  Shen Fei
Abstract:In this paper we studied Skeletonema costatum-the representative algae in the red tide of the Bohai Sea Using the biochemical mechanism of the biology growth and considering the effect of the variation of concentration of nitrogen and phosphor on the algae growth and the light, we got a new growth nonlinear dynamics model of the algae Using the methods of the modern nonlinear dynamics, we discussed the stability of the steady state first, and then focused on the Hopf bifurcation behaviors of the parse solution of the model equation We pointed out that by changing the initial nutrient concentration the model would display complex dynamics behaviors including bifurcation and chaos
Keywords:Red tide  Nonlinear dynamics  Stability  Bifurcation  Chaos
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