Existence and multiplicity of periodic solutions for a hematopoiesis model

TL;DR

This paper investigates a nonautonomous Mackey-Glass model with delays to understand periodic solutions in hematopoiesis regulation, employing topological degree methods to establish their existence and multiplicity.

Contribution

It introduces a novel application of topological degree methods to prove multiple positive periodic solutions in a complex hematopoiesis model.

Findings

Existence of positive periodic solutions is established.

Multiple solutions are demonstrated under certain conditions.

The model captures complex dynamics of hematopoiesis regulation.

Abstract

A general nonautonomous Mackey-Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods, we prove the existence and multiplicity of positive periodic solutions.