Kinematic equivalence between models driven by DBI field with constant $\gamma$ and exotic holographic quintessence cosmological models

We show the kinematic equivalence between cosmological models driven by Dirac-Born-Infeld fields $\varphi$ with constant proper velocity of the brane and exponential potential $V=V_0{e}^{-B\varphi }$ and interactive cosmological systems with Modified Holographic Ricci type fluids as dark energy in flat Friedmann-Robertson-Walker cosmologies.