Positive pseudo almost periodic solutions to a class of hematopoiesis model: Oscillations and Dynamics

TL;DR

This paper investigates the existence and stability of pseudo almost periodic solutions in a generalized Mackey-Glass hematopoiesis model with delays and harvesting, providing conditions for oscillations and demonstrating their effectiveness through an example.

Contribution

It introduces a new generalized model with non-linear harvesting and mixed delays, establishing conditions for pseudo almost periodic solutions and their exponential stability.

Findings

Existence of pseudo almost periodic solutions under certain conditions

Exponential stability of solutions demonstrated

Effectiveness confirmed through an illustrative example

Abstract

This paper presents a new generalized Mackey-Glass model with a non-linear harvesting term and mixed delays. The main purpose of this work is to study the existence and the exponential stability of the pseudo almost periodic solution for the considered model. By using fixed point theorem and under suitable Lyapunov functional, sufficient conditions are given to study the pseudo almost periodic solution for the considered model. Moreover, an illustrative example is given to demonstrate the effectiveness of the obtained results.