Existence, uniqueness and stability of solutions to a delay hematopoiesis model | ASJP

Journal of innovative applied mathematics and computational sciences
Volume 2, Numéro 2, Pages 23-30
2022-09-10

Existence, Uniqueness And Stability Of Solutions To A Delay Hematopoiesis Model

Authors : Bouakkaz Ahlème . Khemis Rabah .

Abstract

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

Existence And Uniqueness Of The Strong Solution For An Non-local Boundary Value Problem

Guezane-lakoud A . Rebbani F .
pages 11-14.

Existence And Asymptotic Stability Of Continuous Solutions For Integral Equations Of Product Type

Bousselsal Mahmoud . Bellour Azzeddine .
pages 31-39.

Existence And Asymptotic Stability Of Continuous Solutions For A General Form For Neutral Integral Equations Of Product Type

Bousselsal Mahmoud . Bellour Azzeddine .
pages 66-74.

Uniqueness And Stability Of Parameter Identification In Elliptic Boundary Value Problem

Benyoucef Abir .
pages 30-37.

فلسفة الإنسان بين الوجود الإتيقي والوجود الأخلاقي The Philosophy Of Man Between Ethical Existence And Moral Existence

مروفل كلتوم .
ص 141-156.