Existence, uniqueness and stability of solutions to a delay hematopoiesis model
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Date
2022
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Publisher
Journal of Innovative Applied Mathematics and Computational Sciences , 2(2) , 23–30
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.