Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. (English) Zbl 1116.92072 Discrete Contin. Dyn. Syst., Ser. B 4, No. 3, 823-831 (2004). Summary: A discrete periodic two-species Lotka-Volterra predator-prey model with time delays is investigated. By using R. E. Gaines and J. L. Mawhin’s [Coincidence degree, and nonlinear differential equations. (1977; Zbl 0339.47031)] continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for the existence of positive periodic solutions of the model. Cited in 8 Documents MSC: 92D40 Ecology 39A11 Stability of difference equations (MSC2000) 92D25 Population dynamics (general) Citations:Zbl 0339.47031 PDF BibTeX XML Cite \textit{R. Xu} et al., Discrete Contin. Dyn. Syst., Ser. B 4, No. 3, 823--831 (2004; Zbl 1116.92072) Full Text: DOI OpenURL