The initial mass inflow rates at the outer boundary of the circum-CO disks accreting the AGN disk gas shown in the R _CO−M plane. The fiducial values of the parameters are α = 0.1, ﹩\dot{{ \mathcal M }}=0.5﹩, α _CO = 0.1, and h = 0.5. The left panel shows the case of m _BH = 10M _⊙ BH accretion, and the right panel shows the case of m _NS = 1.4M _⊙ NS accretion, where the magenta, red lines, and above regions represent the boundary of r _Hill ≥ r _BHL and H ≥ r _BHL. The green lines represent the boundary of Q _CO = 1, where the above region in the left panel and the contained region in the right panel show Q _CO < 1.