Global attractivity of a unique positive periodic solution for a first-order nonlinear difference equation with time delays

Abstract

The present paper is directed toward the study on the global attractivity of a unique positive periodic solution of a discrete hematopoiesis model with unimodal production functions and several time delays. This model is described by a nonlinear difference equation. The result obtained is proved by transforming this model into another difference equation and by using the Schauder fixed-point theorem.

Keywords:

• Discrete hematopoiesis model
• unimodal production function
• positive periodic solution
• globally attractive
• Schauder fixed-point theorem

2010 Mathematics Subject Classifications:

• 39A23
• 39A60
• 47H10
• 92C37
• 39A12

Authors' contributions

The authors contributed equally to the preparation of the paper. The authors read and approved the final manuscript.

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

The second author's work was supported in part by Japan Society for the Promotion of Science KAKENHI Grants-in-Aid for Scientific Research (C) Grant Number JP20K03701.