Stability and Delays in a Predator-Prey System

Abstract Sufficient conditions for both local and global stability of the positive equilibrium in a predator-prey system with time delays are obtained by constructing suitable Lyapunov functionals. A remark on the mistake by K. N. Murty and M. A. S. Srinivas (J. Math. Anal. Appl.158,1991, 333–341) is also included.