有时滞的差分Nicholson's Blowflies模型的持久性和全局吸引性

Permanence and Global Attractivity of a Discrete Nicholson's Blowflies Model with Delay

中文关键词:  差分  Nicholson's Blowflies模型  一致持久性  全局吸引性

英文关键词:discrete  Nicholson's blowflies model  delay  permanence  global attractivity

中文摘要:

      本文研究了一类具有时滞的差分Nicholson's Blowflies模型. 通过构造适当的Lyapunov泛函,得到了系统一致持久和全局吸引性的一组充分性条件．例子和数值模拟说明了我们结果的可行性．

英文摘要:

      In this paper, we consider a discrete Nicholson's blowflies model with delay. By constructing suitable Lyapunov functional, a sufficient condition for the permanence and global attractivity of the system is obtained. An example together with its numerical simulation shows the feasibility of our main results.