  In this work we have considered the modified holographic Ricci dark energy
interacting with dark matter through a non-gravitational coupling. We took
three phenomenological forms for the interaction term $Q$ in the model, where
in general $Q$ is proportional to the Hubble parameter and densities of the
dark sectors, $\rho_{de}+\rho_m, \, \rho_m$ and $\rho_{de}$ respectively. We
have obtained analytical solutions for the three interacting models, and
studied the evolutions of equations of state parameter, deceleration parameter.
The results are compared with the observationally constrained values for the
best parameters of the model. We have also done the statefinder analysis of the
model to discriminate the model from other standard models. In general we have
shown that the model is showing a de Sitter type behavior in the far future of
the evolution of the universe.
