时标上具Allee效应的动力学方程的概周期解
ALMOST PERIODIC SOLUTION FOR A DYNAMICAL EQUATION WITH ALLEE EFFECTS ON TIME SCALES

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