摘要
研究了一类具有时滞和阶段结构的捕食模型系统,给出了系统持续生存的充分条件.利用比较定理和构造适当的Lyapunov泛函得到了该系统正平衡态全局渐近稳定的充分条件.
Stage structure on the predator prey model with time delay is investigated, and conditions are given for persistence of the system.By the comparison theorem and working out a suitable Lyapunov functional method,sufficient conditions are derived for stage structure on the predator prey model with time delay of the system.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第24期155-160,共6页
Mathematics in Practice and Theory
基金
湖南省教育厅科研项目(10C0258)
关键词
阶段结构
捕食模型
持续生存
全局渐进稳定
stage structure
the predator prey model
persistence
global asymptotic stability
