摘要
考虑了一类在污染的环境下具有时滞增长反应及脉冲输入营养液的Monod-Haldane恒化器模型,并且引入了对一种微生物生长有抑制作用的抑制剂.获得了微生物灭绝周期解全局吸引的充分条件,并运用脉冲时滞微分方程的相关理论和方法,证明了系统在适当的条件下是持久的.结果表明:该时滞和污染环境能导致微生物灭绝.
A Monod-Haldane chemostat model with time delay and pulsed input nutrient concentration in a polluted environment was considered,and an external inhibitor for one microorganism was broughtin.The sufficient conditions for the global attractant of periodic solution of microorganism extinction were obtained.Furthermore,by using corresponding theories and methods of impulsive differential equation,it is proved that the system is permanent under appropriate conditions.The results show that time delays and the polluted environment can lead the microorganism species to be extinct.
出处
《上海理工大学学报》
CAS
北大核心
2010年第6期539-544,548,共7页
Journal of University of Shanghai For Science and Technology
关键词
抑制剂
脉冲输入
时滞
恒化器模型
灭绝
持久性
inhibitor
impulsive input
time delay
chemostat model
extinction
permanence
