Some Existence, Uniqueness, and Stability Results for a Human Erythropoiesis Model with Iterative Terms
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Date
2025
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Faculty of Sciences
Abstract
During six decades, many scholars have highlighted the signi cance of
the investigation on blood cell dynamics for grasping fundamental biological
processes and developing new diagnostic and therapeutic approaches. In this
thesis, we present some qualitative and quantitative results for the solutions
to a rst order delay di¤erential equation with iterative terms that describes
the production of red blood cells in humans. Using the Banach and Schauder
xed-point theorems as well as the Green s functions method, we discuss the
existence, uniqueness, and continuous dependence on parameters of positive
periodic solutions for the proposed equation