一类具无穷时滞 Nicholson's blowflies模型的正概周期解(英文)  

Positive Almost Periodic Solution for a Class of Nicholson's Blowflies Model with Infinite Delays

作　　者：周辉[1] 周宗福[1] 

机构地区：[1]安徽大学数学科学院,安徽合肥230039

出　　处：《应用数学》2012年第2期369-374,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11071001);the Key Project of Anhui Provincial Education Department(KJZ2009A2005z);the Research Fund for the Doctoral Program of Higher Education of China(20093401110001)

摘　　要：通过利用锥上的不动点定理,本文主要研究具无穷时滞Nicholson's blowflies模型的正概周期解的存在唯一性.从而得到此正概周期解存在唯一性和指数收敛的充分条件.最后给出一个例子说明本文结果的可行性.By utilizing a fixed theorem in cones,we study the existence of the unique positive almost periodic solution for Nicholson＇s blowflies model with infinite delays. Some sufficient conditions which ensure the existence and exponential convergence of a unique positive almost periodic solution are derived. An example is provided to illustrate the effectiveness of the proposed result.

关 键 词：正概周期解 Nicholson's blowflies模型 无穷时滞 

分 类 号：O175[理学—数学]