  Generalist predators consist an important component of an ecosystem which may
act as a biocontrol agent and influence the dynamics significantly. In this
paper, we have studied the effect of delayed logistic growth of the prey
species with group defence behaviour. The Lyapunov stability criteria for the
interior equilibrium point is derived. Also, the condition of Hopf-bifurcation
and the point of bifurcation are obtained. The length of the delay is also
estimated for the system to preserve stability. Numerical simulations are
performed and illustrated to support the obtained analytical results. Using a
feedback control mechanism, the stability of the unstable equilibrium point is
restored. Latin Hypercube Sampling/Partial Rank Correlation Coefficient
(LHS/PRCC) sensitivity analysis, which is an efficient tool often employed in
uncertainty analysis, is used to explore the entire parameter space of a model.
