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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

Positive Almost Periodic Solutions of the Mackey-Glass Model with Iterative Terms

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2025, v.32 no.3, pp.205-215
https://doi.org/10.7468/jksmeb.2025.32.3.205
ShuoQi Wu (Jiaxing University)
Bingwen Liu (Jiaxing University)
JiaNi Wu (Changsha University of Science And Technology)

Abstract

This paper is devoted to investigate a non-autonomous Mackey-Glass model with multiple iterative terms. We develop novel differential inequality techniques to construct appropriate positive invariant sets, and acquire the existence and uniqueness of positive almost periodic solution for the addressed model, which supplement and extend the corresponding results in existing literature.

keywords
Mackey-Glass model, almost periodic solution, Banach fixed point theorem, iterative term

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics