一类时滞脉冲广义Nicholson果蝇模型的正周期解  

Positive Periodic Solution for a Class of Delay Impulsive Generalized Nicholson's Blowflies Models

作　　者：张若军[1] 杨春雨[1] 刘芳[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2016年第7期136-140,共5页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(11171315);山东省自然科学基金项目(ZR2011AZ001;ZR2011AM003)资助~~

摘　　要：研究了一类时滞脉冲广义Nicholson果蝇模型的正周期解问题,利用锥拉伸与锥压缩不动点定理、Laypunov方法及不等式技巧得到了这类模型正周期解存在唯一的充分条件,并通过一个实例和仿真说明了结论的有效性,推广和改进了已有文献的结果。In this paper,the positive periodic solution for a class of delay impulsive generalized Nicholson＇s blowflies models is considered.By using the cone expansion and compression fixed point theorem,Lyapunov functions and inequality technique,some criteria ensuring the existence and uniqueness of positive periodic solution for the given model are derived.Moreover,an example and its simulation are given to show the efficiency of the results.The main results improve and generate the results of the previous literature.

关 键 词：Nicholson果蝇模型 正周期解 时滞 脉冲 锥拉伸与锥压缩不动点定理 

分 类 号：O175[理学—数学]