Periodical Bifurcation Analysis of a Type of Hematopoietic Stem Cell Model with Feedback Control  

作　　者：Suqi Ma Suqi Ma(Department of Mathematics, China Agricultural University, Beijing, China)

机构地区：[1]Department of Mathematics, China Agricultural University, Beijing, China

出　　处：《International Journal of Modern Nonlinear Theory and Application》2023年第1期18-29,共12页现代非线性理论与应用（英文）

摘　　要：The delay feedback control brings forth interesting periodical oscillation bifurcation phenomena which reflect in Mackey-Glass white blood cell model. Hopf bifurcation is analyzed and the transversal condition of Hopf bifurcation is given. Both the period-doubling bifurcation and saddle-node bifurcation of periodical solutions are computed since the observed floquet multiplier overpass the unit circle by DDE-Biftool software in Matlab. The continuation of saddle-node bifurcation line or period-doubling curve is carried out as varying free parameters and time delays. Two different transition modes of saddle-node bifurcation are discovered which is verified by numerical simulation work with aids of DDE-Biftool.The delay feedback control brings forth interesting periodical oscillation bifurcation phenomena which reflect in Mackey-Glass white blood cell model. Hopf bifurcation is analyzed and the transversal condition of Hopf bifurcation is given. Both the period-doubling bifurcation and saddle-node bifurcation of periodical solutions are computed since the observed floquet multiplier overpass the unit circle by DDE-Biftool software in Matlab. The continuation of saddle-node bifurcation line or period-doubling curve is carried out as varying free parameters and time delays. Two different transition modes of saddle-node bifurcation are discovered which is verified by numerical simulation work with aids of DDE-Biftool.

关 键 词：BIFURCATION Saddle-Node Bifurcation Period-Doubling Bifurcation Hopf Bifurcation Time Delay 

分 类 号：O17[理学—数学]