This article presents our study of the relativistic stimulated Brillouin scattering (SBS) process of a laser in a plasma in the presence of an electron–ion collision damping coefficient by following the energy and momentum conservation. The change in plasma density and the inclusion of the damping coefficient of the electron–ion collision modify the dispersion relations of the pump wave, ion acoustic wave, and sideband waves; consequently, the temporal characteristics of the interacting waves have been affected. The electron–ion collisions and relativistic mass effect are seen to be important to the temporal characteristics of the interacting waves. In this work, we primarily introduce the physical model of SBS under different plasma parameter conditions. The influence of collisional plasma parameters on the temporal evolution of SBS is analyzed. This work may be crucial to understand laser energy transfer in the hohlraum plasma in inertial confinement fusion.