时标上具Allee效应的动力学方程的概周期解（英文）  

ALMOST PERIODIC SOLUTION FOR A DYNAMICAL EQUATION WITH ALLEE EFFECTS ON TIME SCALES

作　　者：王丽丽[1] 胡猛[1] WANG Li-li HU Meng(School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, Chin)

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000

出　　处：《数学杂志》2017年第2期283-290,共8页Journal of Mathematics

基　　金：Supported by Key Project of Scientific Research in Colleges and Universities in Henan Province(15A110004;16A110008);Basic and Frontier Technology Research Project of Henan Province(142300410113)

摘　　要：本文研究了时标上具Allee效应的可再生资源动力学方程的概周期解的存在性与稳定性.利用线性系统指数二分性与压缩映射不动点定理,得到了方程存在唯一概周期解的充分条件.此外,通过构建适当的Laypunov函数,得到了概周期解是全局指数稳定的充分条件.This paper is concerned with an equation representing dynamics of a renewable resource subjected to Allee effects on time scales. By using exponential dichotomy of linear system and contraction mapping fixed point theorem, sufficient conditions are established for the existence of unique positive almost periodic solution. Moreover, by constructing a suitable Lyapunov functional, we obtain sufficient conditions for the global exponential stability of the almost periodic solution.

关 键 词：动力学方程 ALLEE效应 概周期解 指数稳定 时标 

分 类 号：O175.12[理学—数学]