Persistence and global stability in Lotka-Volterra delay differential systems

Consider the persistence and the global asymptotic stability of models governed by the following Lotka-Volterra delay differential system: In this paper, applying the former results [1], we obtain conditions for the persistence of the system, and extending a technique offered by Saito, Hara and Ma [2] for n = 2 to the above system for n > 2, we establish new conditions for global asymptotic stability of the positive equilibrium which improve the well-known result of Gopalsamy for some special cases. (C) 2004 Elsevier Ltd. All rights reserved.