摘要
研究了捕食者具有阶段结构且食饵有避难所的非自治捕食系统.利用Lyapunov函数方法得到了系统持续生存的条件,以及在一定条件下存在唯一全局渐进稳定的周期正解.对于更广泛的概周期现象,也得到了存在唯一全局渐进稳定的概周期正解的充分条件.
A nonautonomous prey-predator system with stage-structure and prey refuge has been studied. Lyapunov method is used to study the persistence of the system and global asymptotic stability of the positive periodic solutions and positive almost periodic solutions.The existence and uniqueness of the positive periodic solutions and positive almost periodic solutions corresponding to their own system are also discussed.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第8期238-242,共5页
Mathematics in Practice and Theory
基金
甘肃省科技厅资助项目(1010RJZA127)
关键词
持久性
阶段结构
避难所
周期解
概周期解
persistence
stage-structure
refuge
periodic solutions
almost periodic solutions
