摘要
研究一个具有时滞和功能反应的非自治阶段结构的捕食模型,其中食饵种群分两个阶段——幼年和成年,且捕食种群只捕成年食饵.通过利用微分不等式、比较定理和构造适当的Lyapunov泛函,得到该模型的永久持续生存和绝灭的充分条件,同时也得到了周期系统存在唯一全局渐近稳定的周期解的充分条件.
A predator-prey model with delay and functional response and stage structure for prey is studied. By using differential inequality and comparison theorem, it is obtained that the system is permanence and extinction under appropriate conditions. Further, if the system is a periodic one, it can have a strictly positive periodic solution which is global asymptotic stable under appropriate conditions by constructed suitable lyapunov functional.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第13期225-229,共5页
Mathematics in Practice and Theory
关键词
阶段结构
时滞
功能反应
永久持续生存和绝灭
周期解
stage-structure
delay
functional response
permanence and extinction
periodic solution
