Dynamic blood disease appears in a wide range of fluctuations on the number of blood cells, which is primarily abnormal changing in the hematopoietic stem cell number. In a Fourth Order hematopoietic system, a changing parameter leads to different oscillation modes of the number of blood cells in the dynamic blood disease oscillations. Through two-parameter bifurcation analysis on the hematopoietic system, we can push a oscillatory mode into a stable equilibrium state by adjusting another parameter to maintain the stability of the number of blood cells.