  Interacting quintessence models have been proposed to explain or, at least,
alleviate the coincidence problem of late cosmic acceleration. In this paper we
are concerned with two aspects of these kind of models: (i) the dynamical
evolution of the model of Chimento et al. [L.P. Chimento, A.S. Jakubi, D.
Pavon, and W. Zimdahl, Phys. Rev. D 67, 083513 (2003).], i.e., whether its
cosmological evolution gives rise to a right sequence of radiation, dark matter
and dark energy dominated eras, and (ii) whether the dark matter dark energy
ratio asymptotically evolves towards a non-zero constant. After showing that
the model correctly reproduces these eras, we correlate three data sets that
constrain the interaction at three redshift epochs: $z\le 10^{4}$, $z=10^{3}$,
and $z=1$. We discuss the model selection and argue that even if the model
under consideration fulfills both requirements, it is heavily constrained by
observation. The prospects that the coincidence problem can be explained by the
coupling of dark matter to dark energy are not clearly favored by the data.
