摘要
考虑了一类具有时滞增长反应及脉冲输入营养基的Monod-Haldane恒化器模型.获得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,结论还表明该时滞是有害时滞.
A Monod-Haldane chemostat model with delayed growth response and impulsive input concentration of the nutrient was considered. The sufficient conditions for the global attractivity of microorganism-extinction periodic solution were obtained. Furthermore, using corresponding theories and methods of impulsive delayed diferential equation, it was proved that the system was permanent under appropriate conditions. The results showed that time delay was profitless.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
北大核心
2008年第3期6-11,共6页
Journal of Nanjing Normal University(Natural Science Edition)
基金
国家自然科学基金(10771179)资助项目
关键词
脉冲输入
恒化器模型
增长反应时滞
持久性
灭绝
impulsive input, chemostat model, time delay for growth response, permanence, extinction
