A predator-prey system with Holling type II functional response and a time
lag is described by a delayed differential-algebra system and the local asymptotic stability and Hopf bifurcation of such system is studied. It is shown that if the time lag
increases, a sequence of Hopf bifurcations can occur. The stability and direction of the
Hopf bifurcations are studied by using center manifold theory for functional differential
equations. A numerical example illustrates our theoretical findings.