具有限时滞微生物连续培养模型的稳定性

The Stability for Mode of Contimuous——Flow Microbial Population Culture With Finite Delay

讨论了由Monod动力学所描述的具有限时滞微生物连续培养模型的定性性态 ,给出了稳定性区域的划分 ,证明了当时滞变化时 ,平衡点的稳定性区域也随之改变 。

The stability behavior is performed for a class of continuous-flow microbial population culture described by Monod Kinetics with finite delay.The divide of stability region is given,Showing that the eguilibrium in the interior of the plane may chang its stability as a function of a delay parameter,and lead to Hopf bifurcation.