On almost periodic solutions for a model of hematopoiesis with an oscillatory circulation loss rate

TL;DR

This paper proves the existence of positive almost periodic solutions in a hematopoiesis model with oscillatory circulation loss rate, removing previous restrictive assumptions and providing broader applicability.

Contribution

It introduces a new fixed point theorem to establish solutions without relying on prior nonlinear assumptions, expanding the understanding of hematopoiesis models.

Findings

Existence of positive almost periodic solutions established.

Results hold without previous nonlinear assumptions.

Examples illustrate the applicability of the theoretical results.

Abstract

We establish and prove a fixed point theorem from which some sufficient conditions on the existence of positive almost periodic solutions for a model of hematopoiesis with oscillatory circulation loss rate are deduced. Some particular assumption under the nonlinearity of the equation has been previously considered by authors as fundamental for the study of almost periodic solutions of the model. The aim of this paper is to establish results without such assumption. Some examples are given to illustrate our results.