Bifurcation analysis in a hematopoietic model with delayed Feedback*
In this paper, a hematopoietic model is considered. The distribution of the eigenvalues is investigated, and hence a bifurcation set is provided in an appropriate parameter plane. It is found that there are stability switches when the parameter varies, and Hopf bifurcations occur when the parameter passes through a sequence of critical values. Furthermore, the stability and direction of the Hopf bifurcation are determined by applying the normal form and center manifold theory. Then, some numerical simulations are performed to illustrate the analytic results.
delay stability hopf bifurcation periodic solutions
Yang Jiang Junjie Wei
Department of Mathematics, Harbin Institute of Technology, Harbin, China
国际会议
The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)
长沙
英文
722-731
2008-06-12（万方平台首次上网日期，不代表论文的发表时间）