  We consider nonlinear redshift-dependent equation of state parameters as dark
energy models in a spatially flat Friedmann-Lema\^itre-Robertson-Walker
universe. To depict the expansion history of the universe in such cosmological
scenarios, we take into account the large scale behaviour of such parametric
models and fit them using a set of latest observational data with distinct
origin that includes cosmic microwave background radiation, Supernove Type Ia,
baryon acoustic oscillations, redshift space distortion, weak gravitational
lensing, Hubble parameter measurements from cosmic chronometers and finally the
local Hubble constant from Hubble space telescope. The fitting technique avails
the publicly available code Cosmological Monte Carlo (CosmoMC), to extract the
cosmological information out of these parametric dark energy models. From our
analysis it follows that those models could describe the late time accelerating
phase of the universe, while they are distinguished from the
$\Lambda-$cosmology.
