Comparison of the evolution of the dust mass between EIT08M including and without the SMBH formation. The initial gas mass of the galaxy M_ini = 5 × 10¹⁰ M_⊙. Calculations are shown for a “maximum” (top row) and a “high” (bottom row) SN dust production efficiency ϵ_i(m). Dust destruction is taken into account for M_cl = 100   M_⊙ (left column) and 0 M_⊙ (right column). Calculations including the SMBH are performed for a SMBH mass M_SMBH = 5 × 10⁹ M_⊙ (solid curves) and for M_SMBH = 3  ×  10⁹ M_⊙ (dotted curves). The calculations without the SMBH are illustrated as dot-dashed curves. The black lines represent the Salpeter IMF and the magenta lines the Larson 2 IMF. The grey horizontal dashed line marks the limit of 10⁸ M_⊙ of dust. The grey vertical dashed lines indicate epochs at 100, 400, and 500 Myr after the onset of starburst.