  Causal dissipative model is a plausible choice to explain the late
accelerated epoch of universe. At the same time $\Lambda$CDM is considered to
be standard model to explain the cosmological data corresponding to the late
evolution of the universe. We consider a bulk viscus model in which the
dissipation is driven by the bulk viscosity $\zeta=\alpha \rho^{1/2}$,
described using the full causal Israel-Stewart theory. We computed the model
parameters using the latest observational data (Pantheon). We contrasted this
model with $\Lambda$CDM model for the late accelerated phase using Bayesian
inference method. The Bayes factor has been obtained by calculating the
likelihood for Pantheon data. Suitable prior values has been assumed for model
parameters for calculating the likelihood. It shows that the evidence for
$\Lambda$CDM against this viscous model is very strong according to Jeffrey's
scale.
