应用数学进展  >> Vol. 6 No. 6 (September 2017)

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, , XML, 下载: 768  浏览: 1,890 

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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[11] 马苏奇. 造血系统中的周期解分岔及反馈控制[J]. 应用数学进展, 待发表.