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On the analyzing of bifurcation properties of the one-dimensional Mackey-Glass model by using a generalized approach   
Yazarlar
Shuai Zhang
Yaya Wang
Hongyin Geng
Wei Gao
Doç. Dr. Esin İLHAN Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi
Haci Mehmet Baskonus
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Dergi ISSN 0170-4214
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 08-2024
Doi Numarası 10.1002/mma.10381