  In this work we have investigated the effects of the interaction between a
brane universe and the bulk in which it is embedded. Considering the effects of
the interaction between a brane universe and the bulk we have obtained the
equation of state for the interacting holographic Ricci dark energy density
$\rho_{\Lambda}=3c^2 (\dot{H}+2 H^2)$ in the flat universe. We have
investigated the impact of $c^2$ on the equation of state $\omega_{\Lambda}$.
Also, considering the power law for of the scale factor, we have observed that
non-trivial contributions of dark energy which differ from the standard matter
fields confined to the brane is increasing with the evolution of the universe.
