Positive periodic solutions of delayed periodic Lotka-Volterra systems

摘要

In this Letter, for a general class of delayed periodic Lotka-Volterra systems, we prove some new results on the existence of positive periodic solutions by Schauder's fixed point theorem. The global asymptotical stability of positive periodic solutions is discussed further, and. conditions for exponential convergence are given. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. (C) 2004 Elsevier B.V. All rights reserved.