Existence, uniqueness and stability of positive periodic solutions for an iterative Nicholson's blowflies equation

The main motive and, at the same time, the goal of this work is to investigate a revisited Nicholson's blowflies equation that involves a time varying delay and an iterative term. We make use of Schauder's fixed point theorem to tackle the existence of positive periodic solutions and under an additional condition, we apply the Banach contraction principle for establishing the existence, uniqueness and stability results. Finally, we give two examples to illustrate the effectiveness of our main results that are completely new and complement some earlier investigations to some extent.