Uniqueness and global exponential stability of almost periodic solution for Hematopoiesis model on time scales
Authors
Zhijian Yao
 Department of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China.
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.
Keywords
 Hematopoiesis model on time scales
 almost periodic solution
 global exponential stability
 fixed point theorem of decreasing operator
 exponential dichotomy.
MSC
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