一个造血模型的稳定性及Hopf分支

Stability and Hopf bifurcation in a hematopoiesis model with time delay

研究了一个造血模型的稳定性及 Hopf分支 .首先 ,应用 Cooke的方法 ,研究了正平衡点的稳定性随参数而变化情况 ,同时得到 Hopf分支值 .然后 ,应用中心流形和规范型理论 ,得到关于确定 Hopf分支方向和分支周期解稳定性的计算公式 .最后应用文献 [1 ]提供的方法研究了全局 Hopf分支的存在性 .

A hematopoiesis model with delay is considered.Firstly, linearized stability and local Hopf bifurcation are studied. Secondly, the stability and direction of the Hopf bifurcation are determinded by applying the normal form theory and the center manifold theorem. Finally,the existence of the global Hopf bifurcation is investigated by using the method in .