  We consider interacting dark matter-dark energy models arising out of a
general interaction term
$Q=f(\rho_{m},\rho_{d},\dot{\rho}_{m},\dot{\rho}_{d}).$ Here $f$ is a
functional relation connecting the energy densities $\rho_{m}$ and $\rho_{d}$
and their derivatives w.r.t. time $t.$ In our model we consider two interacting
barotropic fluid with constant equation of state $\omega_{m}$ and $\omega_{d}.$
By considering a dynamical interaction between them we trace out the
cosmological evolution dynamics of the universe. We analytically solve the
model by considering a constant ratio between the two fluids and then track the
corresponding analytical results using observational data from the baryon
acoustic oscillation measurements, Type Ia supernovae measurements and the
local Hubble constant measurements. From this general setting we introduce
three different models and nine different interaction function. Our final aim
is to set up a comparative analysis of the various class of models under the
different interaction function using common theoretical and numerical analysis.
