  In the current manuscript, an attempt has been made to understand the
dynamics of a time-delayed predator-prey system with modified Leslie-Gower and
Beddington-DeAngelis type functional responses for large initial data. In
\cite{RK15}, we have seen that the model does possess globally bounded
solutions, for small initial conditions, under certain parametric restrictions.
Here, we show that actually solutions to this model system can blow-up in
finite time, for large initial condition, \emph{even} under the parametric
restrictions derived in \cite{RK15}. We prove blow-up in the delayed model, as
well as the non delayed model, providing sufficient conditions on the largeness
of data, required for finite time blow-up. Numerical simulations show, that
actually the initial data does not have to be very large, to induce blow-up.
The spatially explicit system is seen to possess Turing instability. We have
also studied Hopf-bifurcation direction in the spatial system, as well as
stability of the spatial Hopf-bifurcation using the central manifold theorem
and normal form theory.
