摘要
考虑了一类新的污染环境下具有时滞增长反应及脉冲输入的Monod恒化器模型.运用离散动力系统的频闪映射,获得了一个‘微生物灭绝’周期解,进一步获得了该周期解全局吸引的充分条件.运用脉冲时滞泛函微分方程新的计算技巧,证明了系统在适当的条件下是持久的,结论还表明该时滞是"有害"时滞.
A new Monod type chemostat model is considered with time delay and pulsed input concentration of the nutrient in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, a‘ microorganism-extinction＇ periodic solution is obtained. Further more, the sufficient conditions for the global attractivity of the microorganism-extinction periodic solution are established. Using new computational techniques for impulsive and delayed differential equation, it is proved that the system is permanent under appropriate conditions. The results show that time delay is ＂profitless＂.
出处
《应用数学和力学》
CSCD
北大核心
2008年第1期69-80,共12页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10471117
10771179)
关键词
持久性
脉冲输入
恒化器模型
增长反应时滞
灭绝
permanence
impulsive input
chemostat model
time delay for growth response
extinction
