A Lotka-Volterra predator-prey system with distributed delays is considered and local and global dynamical properties of two possible equilibria
are discussed. It is shown that when the delays are sufficiently small, if
does not exist, then
is globally asymptotically stable or globally attractive; otherwise,
is locally asymptotically stable. Furthermore, a region of explicit asymptotic stability is obtained for
based on a Lyapunov functional.