具有时滞的浮游植物-浮游动物模型研究(英文)

Study of a Phytoplankton-zooplankton Interaction Model with Delay

考虑了由动植物排放的毒素按离散时滞变化的具有毒素的浮游动植物模型及其性质.首先利用分析方法研究了无时滞模型边界及正平衡点的全局形态,然后利用数值模拟方法研究了具有时滞的模型的动力学行为.分析及数值模拟结果表明系统的动力学行为随时滞变化而变化.

In the present paper we consider a toxin producing phytoplankton-zooplankton model in which the toxin liberation by phytoplankton species follows a discrete time variation. Firstly, we study the globally asymptotically stability of the boundary and interior equilibria of the model without delay by using analytical techniques. And then study the dynamical behavior of the model with delay by numerical method. The analytical and numerical results indicate that the dynamical properties of the system change with the delay τ.