Relation between the quenching rate, ζ, and quenching timescale, h_q, and bar parameters, bar strength ε and bar timescale h, in our simulated galaxies. Black 6-pointed star formally shows the parameters measured for a model without a bar. The blue symbols show the results for models with a bar strength ε = 0.1, while the red symbols indicate models with ε = 0.2 with a rigid bar potential. Green triangle corresponds to the results of the self-consistent bar simulation. The filled gray area in each panel represents the quenching parameters measured for SFH of the inner Milky Way (Snaith et al. 2014). We note that the symbol colors are the same as in SFHs used in Figs. 14 and 15. Models without taking into account converging flow criteria in the star-formation prescription are shows by crosses. Error bars refer to the 95% confidence interval from the fitting procedure.