Uniqueness and global exponential stability of almost periodic solution for Hematopoiesis model on time scales

Abstract

This paper deals with almost periodic Hematopoiesis dynamic equation on time scales. By applying a novel method based on the fixed point theorem of decreasing operator, we establish sufficient conditions for the existence of unique almost periodic positive solution. Particularly, we give iterative sequence which converges to the almost periodic positive solution. Moreover, we investigate global exponential stability of the almost periodic positive solution by means of Gronwall inequality. c 2015 All rights reserved. Keywords: Hematopoiesis model on time scales, almost periodic solution, global exponential stability, fixed point theorem of decreasing operator, exponential dichotomy. 2010 MSC: 34K14, 34K20.

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