摘要：A predator-prey system with two delays and stage-structure for both the predator and the prey
is considered. Sufficient conditions for the local stability and the existence of periodic solutions
via Hopf bifurcation with respect to both delays are obtained by analyzing the distribution
of the roots of the associated characteristic equation. Specially, the direction of the Hopf
bifurcation and the stability of the periodic solutions bifurcating from the Hopf bifurcation are
determined by applying the normal form theory and center manifold argument. Some numerical
simulations for justifying the theoretical analysis are also provided.
