时标上一类多重变时滞Lasota-Wazewska模型的概周期解

Almost Periodic Solution for A Class of Lasota-Wazewska Model on Time Scales

研究了时标上一类多重变时滞Lasota-Wazewska模型概周期解的存在性和全局指数稳定性问题.利用压缩映射原理和指数二分性得到了该系统概周期正解存在且唯一的充分条件;借助Gronwall不等式证明了该系统概周期正解的全局指数稳定性.

This paper is concerned with the problem of almost periodic solution of a class of Lasota- Wazewska model with multiple time- varying delays on time scales. Some sufficient conditions for the existence of a unique almost periodic positive solution are established by applying contraction mapping principle and exponential dichotomy theory. Moreover,the global exponential stability of the almost periodic positive solution is proved by means of the Gronwall inequality.