Existence, uniqueness and stability results of an iterative survival model of red blood cells with a delayed nonlinear harvesting term

In this article, a first-order iterative Lasota-Wazewska model with a  nonlinear delayed harvesting term is discussed. Some sufficient conditions  are derived for proving the existence, uniqueness and continuous dependence  on parameters of positive periodic solutions with the help of  Krasnoselskii's and Banach fixed point theorems along with the Green's  functions method. Besides, at the end of this work, three examples are  provided to show the accuracy of the conditions of our theoretical findings which are completely innovative and complementary to some earlier  publications in the literature.

Keywords:

Fixed point theorem , Green's function , iterative differential equation , Lasota-Wazewska model