In this work the eect of the potential parameters on the condensate fraction and the critical temperature of neutral many-bosonic system are investigated. A many-body technique called the static uctuation approximation is used in this study. The interaction potential is modeled by two linear terms. The condensation fraction and critical temperature were found to decrease with increasing the strength or the range of the repulsive part of the potential. On the other hand, the condensation fraction and critical temperature increase with increasing the depth or range of the attractive part of the potential.