Steady-state gas density in the belt (in Keplerian motion) as predicted by our model for different values of gas production rate. The line in red represents n_crit which is the critical density below which the gas has a wind structure (see Eq. (5)) for collisions between SW protons and either C, O, or ions. Above this critical density, the gas is assumed to form a viscous disk with α = 10⁻³. The case of high M_sw = 10⁵ Ṁ_⊙ shows the regime where t_leave/t_hit > 1, independent of Ṁ_sw where we assume υ_sw = 100 km/s (see main text for details).