摘要
文章讨论了一类捕食者具有阶段结构的非自治捕食者-食饵系统,运用Lyapunov函数方法,得到了该系统一致持续生存的条件;对于该模型的周期系统,在适当的条件下,存在唯一、全局渐近稳定的周期解。
This paper considers a kind of nonautonomous predator-prey system with stage-structure for predator. The sufficient conditions for guaranteeing the permanence of the system are obtained by the Lyapunov method. Then the existence, uniqueness and global asymptotic stability of the positive periodic solutions for corresponding periodic system are also discussed.
出处
《合肥工业大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第4期546-549,共4页
Journal of Hefei University of Technology:Natural Science
关键词
阶段结构
持续生存
周期解
全局渐进稳定
stage-structure
permanent existence
periodic solution
global asymptotic stability