Existence and finite-time stability of a unique almost periodic positive solution for fractional-order Lasota–Wazewska red blood cell models

In this paper, we are concerned with a class of fractional-order Lasota–Wazewska red blood cell models. By applying a fixed point theorem on a normal cone, we first obtain the sufficient conditions for the existence of a unique almost periodic positive solution of the considered models. Then, considering that all of the red blood cells in animals survive in a finite-time interval, we study the finite-time stability of the almost periodic positive solution by using some inequality techniques. Our results and methods of this paper are new. Finally, we give numerical examples to show the feasibility of the obtained results.