造血系统的下临界Hopf分岔
Subcritical Hopf Bifurcation of a Hematopological System
DOI: 10.12677/AAM.2017.66089, PDF,   
作者: 马苏奇：中国农业大学数学系，北京
关键词: 造血系统；下临界Hopf分岔；时滞；Hematological Cell Model； Subcritical Hopf Bifurcation； Delay
摘要: 本文讨论了造血干细胞引发周期噬中性粒子血液病的两房模型。数学上，该模型是一多时滞的时滞微分系统的复杂非线性模型。变化时滞可带来系统的Hopf分岔行为，通过计算范式，分析得出该分岔点处发生了下临界Hopf分岔。数值模拟与理论分析结果一致。
Abstract: The periodic cyclical neutrophil oscillating model of hematopoietic is discussed. Mathematically, the model is a multi-delay DDEs with high nonlinearity. Varying time delay brings forth Hopf bifurcation in system dynamic behavior. By calculating coefficients of normal form, it is analyzed that Hopf bifurcation is sub-critical. Numerical simulation coincides with the theoretical analyze result.
文章引用：马苏奇. 造血系统的下临界Hopf分岔[J]. 应用数学进展, 2017, 6(6): 740-751. https://doi.org/10.12677/AAM.2017.66089

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