The fiber-based Stimulated Brillouin Scattering (SBS) coupled equations were solved by the method of implicit finite difference with prediction-correction. The influences of the Brillouin gain coefficient, gain bandwidth and effective mode area on time delay and pulse broadening were investigated within the gain range of 0~16. The results indicate that the Stokes pulse will reach gain saturation at a larger gain for smaller gain coefficient, smaller gain bandwidth and larger effective mode area, and its maximum time delay is accordingly larger. At a given pump power whose gain parameter is in small signal range, the time delay and pulse broadening factor increase with the Brillouin gain coefficient increasing but decrease with the Brillouin gain bandwidth and the effective mode area increasing.