Huang, Aimei On a nonautonomous ratio-dependent predator-prey model with time delay and diffusion. (English) Zbl 1174.34071 Ann. Differ. Equations 24, No. 2, 141-149 (2008). Summary: Sufficient conditions which ensure the permanence and existence of positive periodic solution, as well as the extinction of the predator species of a delayed ratio-dependent predator-prey model with diffusion are obtained. Our results supplement some established results. MSC: 34K60 Qualitative investigation and simulation of models involving functional-differential equations 34K25 Asymptotic theory of functional-differential equations 34K13 Periodic solutions to functional-differential equations 92D25 Population dynamics (general) Keywords:nonautonomous; diffusion; delay; predator-prey; permanence PDFBibTeX XMLCite \textit{A. Huang}, Ann. Differ. Equations 24, No. 2, 141--149 (2008; Zbl 1174.34071)