### Existence and global attractivity of the unique positive periodic solution for discrete hematopoiesis model

DOI: http://dx.doi.org/10.12775/TMNA.2015.021

#### Abstract

In this paper, a discrete Hematopoiesis model is studied. By using fixed point theorem of decreasing operator, we obtain sufficient conditions for the existence of unique positive periodic solution. Particularly,we give iterative sequence which converges to the positive periodic solution. In addition, the global attractivity of positive periodic solution is also investigated.

#### Keywords

Discrete Hematopoiesis model; periodic solution; uniqueness; global attractivity; fixed point theorem of decreasing operator

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