In a honeycomb lattice the symmetry has been broken by adding an ionic potential and a single-particle gap was generated in the spectrum. We have employed the iterative perturbation theory (IPT) in dynamical mean field approximation method to study the effects of competition between U and ∆ on energy gap and renormalized Fermi velocity. We found, the competition between the single-particle gap parameter and the Hubbard potential closed the energy gap and restored the semi-metallic phase, then the gap is opened again in Mott insulator phase. For a fixed ∆ by increasing U , the renormalized Fermi velocityṽ F is decreased, but change in ∆, for a fixed U , has no effects onṽ F . The difference in filling factor is calculated for various number of U, ∆. The results of this study can be implicated for gapped graphene e.g. hydrogenated graphene.