Dark energy models inspired by the cosmological holographic principle are studied in homogeneous isotropic spacetime with a general choice for the dark energy density \rho _ { d } = 3 ( \alpha H ^ { 2 } + \beta \dot { H } ) .
Special choices of the parameters enable us to obtain three different holographic models , including the holographic Ricci dark energy ( RDE ) model .
Effect of interaction between dark matter and dark energy on the dynamics of those models are investigated for different popular forms of interaction .
It is found that crossing of phantom divide can be avoided in RDE models for \beta > 0.5 irrespective of the presence of interaction .
A choice of \alpha = 1 and \beta = 2 / 3 leads to a varying \Lambda -like model introducing an IR cutoff length \Lambda ^ { -1 / 2 } .
It is concluded that among the popular choices an interaction of the form Q \propto H \rho _ { m } suits the best in avoiding the coincidence problem in this model .