%0 Journal Article
%T Periodical Bifurcation Analysis of a Type of Hematopoietic Stem Cell Model with Feedback Control
%A Suqi Ma
%J International Journal of Modern Nonlinear Theory and Application
%P 18-29
%@ 2167-9487
%D 2023
%I Scientific Research Publishing
%R 10.4236/ijmnta.2023.121002
%X 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.
%K Bifurcation
%K Saddle-Node Bifurcation
%K Period-Doubling Bifurcation
%K Hopf Bifurcation
%K Time Delay
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=123830