  Generalist predators are 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
Hassell-Varley functional response of generalist predator. The Lyapunov
stability criteria for the interior equilibrium point is derived. Conditions
for alternative stable solutions are obtained using the Kolmogorov theorem and
hence we get a stable system. 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. It is observed that by
the application of an indirect feedback control mechanism, the system can be
brought back to a stable state which was earlier unstable. 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.
