On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach
     
Yazarlar (3)
Doç. Dr. Esin İLHAN Kırşehir Ahi Evran Üniversitesi, Türkiye
Hacı Mehmet Başkonuş
Harran Üniversitesi, Türkiye
Wei Gao
Yunnan Normal University, Çin
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Mathematical Methods in the Applied Sciences (Q1)
Dergi ISSN 0170-4214 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 07-2024
Cilt / Sayı / Sayfa 0 / 1 / 1–15 DOI 10.1002/mma.10381
Makale Linki https://doi.org/10.1002/mma.10381
Özet
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded. The power spectrum of the considered model is collected in order to analyze the periodic behavior of a solution in a differential equation. The complex nature of the system is relayed on a parameter which is illustrated in the bifurcation plot. Due to the fact that the considered model is associated with blood-related diseases, the effect coefficients are effectively captured. The corresponding parameters-based consequences of the generalized model in different order are deduced. The parametric charts for both examples reveal intriguing results. The current work enables investigations into complex real-world problems as well as forecasts of essential techniques.
Anahtar Kelimeler
bifurcation | Caputo fractional derivative | hematopoiesis | numerical method