In this paper we introduce theoretical model for cavity soliton lasers in discrete optical resonators where population dynamics is considered therein. Here in this more comprehensive system, the conditions in order to show bistable regime for homogeneous optical output, in which electric field amplitude in whole cavities are same, is investigated. Since the stable homogeneous state background is essential to emerge optical solitons on it, then unstable domain in homogeneous sate is determined by employing linear stability analysis and effect of parameters are studied.