Wang, Lin-Lin; Li, Wan-Tong; Zhao, Pei-Hao Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays. (English) Zbl 1081.39007 Adv. Difference Equ. 2004, No. 4, 321-336 (2004). For a discrete predator-prey system with delays the existence of a positive periodic solution is proved under certain conditions. A positive solution is shown as globally asymptotically stable when all delays are zero. Reviewer: Lothar Berg (Rostock) Cited in 9 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39A12 Discrete version of topics in analysis 92D25 Population dynamics (general) Keywords:global asymptotic stability; system of difference equations with delays; periodic solutions; discrete predator-prey system; method of Lyapunov functional; positive solution PDFBibTeX XMLCite \textit{L.-L. Wang} et al., Adv. Difference Equ. 2004, No. 4, 321--336 (2004; Zbl 1081.39007) Full Text: DOI EuDML