文章摘要
引用本文:陈晓英,施春玲.一类具有无穷时滞的Lasota-Wazewska模型的概周期解[J].福州大学学报(自然科学版),2014,42(1):8~11
一类具有无穷时滞的Lasota-Wazewska模型的概周期解
Almost periodic solution for a Lasota-Wazewska model with infinte delay
  
DOI:10.7631/issn.1000-2243.2014.01.0008
中文关键词: Lasota-Wazewska模型  无穷时滞  概周期解  全局指数稳定
英文关键词: Lasota-Wazewska model  infinite delay  almost periodic solution  global exponential stability
基金项目:
作者单位
陈晓英 福州大学至诚学院福建 福州 350002 
施春玲 福州大学至诚学院福建 福州 350002 
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中文摘要:
      研究一类具有无穷时滞的Lasota-Wazewska模型的概周期解. 首先利用线性系统的指数型二分性和不动点定理证明该系统概周期解的存在唯一性;其后通过构造适当的Lyapunov泛函和其它的分析技巧得到了该系统概周期解的全局指数稳定性.
英文摘要:
      In this paper,the positive almost periodic solution for the Lasota-Wazewska model with infinite delay is considered. With the help of the theory of exponential dichotomy of linear system and fixed point theorem,the properties of existence and uniqueness of the almost periodic solution is obtained;furthermore,by constructing a suitable Lyapunove functional and some analysis technique,a set of sufficient conditions for the global exponential stability of almost periodic are derived. An example together with its numerical simulation is carried out to show the feasibility of the main results.
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