具有时滞增长反应及脉冲输入的Monod-Haldane恒化器模型分析  

Analysis of Monod-Haldane chemostat model with time delay and pulsed input nutrient concentration in polluted

作　　者：唐春婷[1] 王美娟[1] 田应强[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2010年第6期539-544,548,共7页Journal of University of Shanghai For Science and Technology

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.

关 键 词：抑制剂 脉冲输入 时滞 恒化器模型 灭绝 持久性 

分 类 号：O175.13[理学—数学]