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Browsing Publications scientifiques by Author "Bouakkaz , Ahlème"

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    Existence, uniqueness and stability of solutions to a delay hematopoiesis model
    (Journal of Innovative Applied Mathematics and Computational Sciences , 2(2) , 23–30, 2022) Bouakkaz , Ahlème; Khemis , Rabah
    This work aims to investigate a delay hematopoiesis model where the delay depends on both the time and the current density of mature blood cells. Based on the Banach contraction principle, the Schauder’s fixed point theorem and some properties of a Green’s function, we establish several interesting existence and uniqueness results of positive periodic solutions for the proposed model. The derived results are new and generalize some previous studies. Keywords: Fixed point theorem, Green’s function, Mackey–Glass equation, Periodic solution, Positive solution.
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    Existence, uniqueness and stability results of an iterative survival model of red blood cells with a delayed nonlinear harvesting term
    (Journal of Mathematical Modeling Vol. 10, No. 3, pp. 515-528, 2022) Khemis , Marwa ; Bouakkaz , Ahlème; Khemis , Rabah
    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
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    New results on periodic solutions for a nonlinear fourth-order iterative differential equation
    (Journal of Prime Research in Mathematics, 18(2) , 88–99, 2022) Khemis , Rabah; Bouakkaz , Ahlème
    The key task of this paper is to investigate a nonlinear fourth-order delay differential equation. By virtue of the fixed point theory and the Green’s functions method, we establish some new results on the existence, uniqueness and continuous dependence on parameters of periodic solutions. In addition, an example is given to corroborate the validity of our main results. Up to now, no work has been carried out on this topic. So, the findings of this paper are new and complement the available works in the literature to some degree.