Teng, Zhidong; Chen, Lansun Global asymptotic stability of periodic Lotka-Volterra systems with delays. (Chinese. English summary) Zbl 0962.34058 Acta Math. Sci. (Chin. Ed.) 20, No. 3, 296-303 (2000). Summary: General \(n\)-species periodic Lotka-Volterra type systems with distributed delay and time dependent delay are considered. Sufficient conditions for the existence and global asymptotic stability of positive periodic solutions are established by applying the method of Lyapunov functions. These conditions improve and extend some recent results. Cited in 1 Document MSC: 34K20 Stability theory of functional-differential equations 92D25 Population dynamics (general) 34K13 Periodic solutions to functional-differential equations Keywords:global asymptotic stability; periodic Lotka-Volterra systems; delays; existence; positive periodic solutions PDFBibTeX XMLCite \textit{Z. Teng} and \textit{L. Chen}, Acta Math. Sci. (Chin. Ed.) 20, No. 3, 296--303 (2000; Zbl 0962.34058)