Some new results of nonautonomous Lotka-Volterra competitive systems with delays

In this paper, we improve and generalize the results of Montes de Oca and Zeeman [J. Math. Anal. Appl. 192 (1995), 360-370; Proc. Amer. Math. Sec. 124 (1996), 3677-3687] to general N-species nonautonomous Lotka-Volterra type competitive systems with finite or infinite delays. We establish a series of criteria under which a part of the n species of the systems is driven to extinction while the remaining part of the n species is persistent or uniformly persistent, or coexists globally asymptotically stable. (C) 2000 Academic Press.