一类带有毒素生产和可变营养消耗率的恒化器模型的稳定性分析

Stability Analysis of a Variable Yield Chemostat Model with Toxins

研究了一类带有毒素生产的具有可变营养消耗率的Ivlev型恒化器系统。分析了系统平衡点的存在性及局部渐近稳定性。运用Lyapunov-LaSalle不变性原理证明了边界平衡点的全局渐近稳定性。

A Chemostat model with production of toxin, Ivlev-functional response function and variable yield is investigated. The existence and local asymptotical stability of the equilibriums are analyzed. The global asymptotical stability of the boundary equilibrium is proved by using Lyapunov-LaSalle invariance principle.