多种群赤潮生态模型的非线性动力学研究

Research on Nonlinear Dynamics of Multi-Species HABs Model

基于夜光藻 硅藻 营养物质三者相关的生态动力学模型,利用现代非线性动力学理论,对模型方程解的动力学稳定性从理论上做了分析和判断.在此基础上,选取模型方程中关键参数硅藻生长率a作为变量,结果表明系统方程发生了Hopf分岔.通过对模型进行仿真,具体确定了发生Hopf分岔时的a值,从而阐明了关键参数在模型中的控制作用.

Based on a Noctiluca scintillansdiatomnutrient HABs model, the stability of the dynamic model′s solution is analyzed by modern nonlinear theory. Some criteria of ODE are found. Bifurcation behaviors of the model, by varying the control parameter a which represents the growth rate of the diatoms are also discovered.Through numerical simulation, the values of a at Hopf bifurcation points are obtained.