Liu, Qiming; Dong, Shijie Periodic solutions for a delayed predator-prey system with dispersal and impulses. (English) Zbl 1075.34066 Electron. J. Differ. Equ. 2005, Paper No. 31, 14 p. (2005). Summary: A delayed predator-prey system with prey dispersal in n-patch environments and impulse effects is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions to the system. Cited in 4 Documents MSC: 34K13 Periodic solutions to functional-differential equations 34K45 Functional-differential equations with impulses 92D25 Population dynamics (general) Keywords:Predator-prey system; impulse; dispersion; periodic solution; coincidence degree PDFBibTeX XMLCite \textit{Q. Liu} and \textit{S. Dong}, Electron. J. Differ. Equ. 2005, Paper No. 31, 14 p. (2005; Zbl 1075.34066) Full Text: EuDML EMIS