Positive Periodic Solutions for an Iterative Model of Erythropoiesis in Animals
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Date
2025
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Faculty of Sciences
Abstract
The primary aim of this work is to study the existence, uniqueness, and
continuous dependence on parameters of positive periodic solutions for a
rst-order delay di¤erential equation with an iterative term, describing the
dynamics of red blood cell populations in animals. Using the Krasnoselskii
xed point theorem combined with the Green s functions method, we prove
the existence of at least one positive periodic solution for the given equation.
Furthermore, by virtue of the Banach xed point theorem, we also investigate
the existence and the continuous dependence on parameters of the unique
positive periodic solution.