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Existence, uniqueness and stability results of an iterative survival model of red blood cells with a delayed nonlinear harvesting term

Publish Year: 1401
Type: Journal paper
Language: English
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JR_JMMO-10-3_010

Index date: 8 June 2024

Existence, uniqueness and stability results of an iterative survival model of red blood cells with a delayed nonlinear harvesting term abstract

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.

Existence, uniqueness and stability results of an iterative survival model of red blood cells with a delayed nonlinear harvesting term Keywords:

Existence, uniqueness and stability results of an iterative survival model of red blood cells with a delayed nonlinear harvesting term authors

Marwa Khemis

Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), University of ۲۰ August ۱۹۵۵, Skikda, Algeria

Ahleme Bouakkaz

Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), University of ۲۰ August ۱۹۵۵, Skikda, Algeria

Rabah Khemis

Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), University of ۲۰ August ۱۹۵۵, Skikda, Algeria