污染环境下具有时滞和脉冲输入两种营养基和一种微生物恒化器模型的动力学分析(英文)

Dynamical Analysis of Two-nutrient and One-microorganism Delayed Chemostat Model with Pulsed Input in the Polluted Environment

本文研究在污染环境下带有时滞和脉冲输入的双营养基和一种微生物的恒化器模型.利用脉冲微分方程比较定理,我们得到微生物灭绝周期解的全局吸引和系统持久的充分条件.

In this paper, we study a two-nutrient and one-microorganism delayed chemostat model with periodically pulsed input and polluted environment. Through the comparison theorem of pulse equation,we show that there exists a microorganism-free periodic solution,which is globally attractive. At the same time,we give the sufficient condition for the permanence of the model.