Existence and exponential stability of unique almost periodic solution for Lasota-Wazewska red blood cell model with perturbation on time scales.

This paper deals with Lasota-Wazewska red blood cell model with perturbation on time scales. By applying 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 exponential stability of the almost periodic positive solution by means of Gronwall inequality. Copyright © 2017 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]