Abstract
In this article, we focus on stage-structured hematopoiesis model with time-dependent delays in an almost periodic environment. A threshold dynamic is characterized by basic reproduction ratio R0. By making use of skew-product semiflow approach, we show that the population is extinct if R01. The existence of a unique positive almost periodic solution is derived when R0>1, meanwhile, the global stability of the solution is verified under weaker conditions.
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