Comparison of the total inflow (black and blue lines for DM and gas respectively) and outflow (red line for gas only) in the Magneticum simulation and the van den Bosch (2002) model (dashed black lines, thin for the linearly extrapolated M₀, nofit; bold for the fit M₀, fit). The inflow component is decomposed into a DM accretion flow and a baryonic accretion flow using the baryon fraction and the Andreon (2010) model to compensate for the increasing stellar component at low masses. Additionally, we show the gas accretion model presented by Dekel et al. (2009) as the dark blue dotted line. All flows are shown at 1.2, 2, 3, 4, and 5 virial radii (different panels).