<p>In this paper, we mainly consider a prey-predator model in presence of fear effect, anti-predator behaviour, Beddington-DeAngelis functional response and time-varying delay. First, some conditions for local asymptotic stability of all possible equilibriums of such model without time delay are obtained. Then, for the model with time delay, not only the local stability around the positive equilibrium and the occurrence of Hopf bifurcation are explored, but also the direction of Hopf bifurcation and stability of bifurcated periodic solutions are obtained. Next, the persistence and positiveness of solutions of this model in the presence of time-varying delay are investigated. The global stability of the interior equilibrium is also given. Furthermore, the method of multiple time scales is applied to delay differential system, and a control strategy based on time delay is obtained, that is, to impose time-varying perturbation on the delay to achieve the goal of oscillation suppression. Finally, the theoretical results are verified by numerical simulations.</p>