Stability and Hopf bifurcation in a hematopoiesis model with time delay

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 .