一类脉冲时滞模型正周期解的存在性  

Existence of Positive Periodic Solutions for a Kind of Impulsive Delay Model

作　　者：蒋燕[1] 杨喜陶[1] Jiang Yan, Yang Xitao(School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201 , China)

机构地区：[1]湖南科技大学数学与计算科学学院

出　　处：《湖南科技大学学报（自然科学版）》2018年第3期118-124,共7页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：湖南省自然科学基金资助项目(2015JJ2063)

摘　　要：研究了一类非线性脉冲时滞Nicholson飞蝇模型的动力学行为.通过利用重合度原理来研究它正周期解的存在性,得到了该系统正周期解存在性的充分条件.The dynamic behaviors for a class of nonlinear impulsive delay Nicholson＇s blowflies models were studied. By using the coincidence degree theory,some sufficient conditions were determined that guarantee the existence of positive periodic solutions for the model.

关 键 词：Nicholson飞蝇模型 正周期解 脉冲 重合度 

分 类 号：O175.1[理学—数学]