造血系统的下临界Hopf分岔  

Subcritical Hopf Bifurcation of a Hematopological System

作　　者：马苏奇[1] 

机构地区：[1]中国农业大学数学系,北京

出　　处：《应用数学进展》2017年第6期740-751,共12页Advances in Applied Mathematics

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。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.

关 键 词：造血系统 下临界Hopf分岔 时滞 

分 类 号：O1[理学—数学]