Fear of a predator has an influence on prey population which is more stronger than direct killing. We examined some ecological and epidemiological models under the effect of predator fear, switching, migration, Allee effect, predator and prey velocities. Our study supports the fact that slow moving prey has better chances to escape from predation. Z-control used to bring the population to a desired level in a short possible time. All possible equilibrium points have been evaluated and we discussed their stabilities. We also discussed global stability for some equilibrium points. The Hopf bifurcation and transcritical analysis have been carried out. We investigated the time delay model and found the maximum delay length which preserves the stability. Theoretical results were supported by extensive numerical simulations.