Browsing by Author "Rania, BOULEBNANE"

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    Some Existence, Uniqueness, and Stability Results for a Human Erythropoiesis Model with Iterative Terms
    (Faculty of Sciences, 2025) Rania, BOULEBNANE; Ahlème,BOUAKKAZ
    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