STABILITY AND BIFURCATION BEHAVIORS ANALYSIS IN A NONLINEAR HARMFUL ALGAL DYNAMICAL MODEL

编号 zgly0000369142

文献类型 期刊论文

文献题名 STABILITY AND BIFURCATION BEHAVIORS ANALYSIS IN A NONLINEAR HARMFUL ALGAL DYNAMICAL MODEL

学科分类 220.1060;森林生态学

作者 王洪礼  冯剑丰  沈菲  孙景 

作者单位 DepartmentofMechanicsandEngineeringMeasurement 

母体文献 应用数学和力学: 英文版 

年卷期 2005,26(6)

页码 729-734

年份 2005 

分类号 Q141  O415.5 

关键词 有害藻花  繁殖机制  霍普夫分支  正则范式  稳定性  混沌 

文摘内容 A food chain made up of two typical algae and a zooplankton was considered. Based on ecological eutrophication, interaction of the algal and the prey of the zooplankton, a nutrient nonlinear dynamic system was constructed. Using the methods of the modem nonlinear dynamics, the bifurcation behaviors and stability of the model equations by changing the control parameter r were discussed. The value of r for bifurcation point was calculated, and the stability of the limit cycle was also discussed.The result shows that through quasi-periodicity bifurcation the system is lost in chaos。