Zhang, Zhengqiu; Wang, Zhicheng The existence of periodic solution of a two-patches predator-prey dispersion delay models with functional response. (English) Zbl 1059.34047 J. Korean Math. Soc. 40, No. 5, 869-881 (2003). The authors consider a delayed periodic and diffusive food-chain system with functional response of type Holling-II, where there are state-dependent delays in the process of translating prey into predator. By using the standard techniques of coincidence degree theory, the authors obtain sufficient conditions for the existence of a periodic solution of the system. Reviewer: Chen Lan Sun (Beijing) Cited in 1 ReviewCited in 1 Document MSC: 34K13 Periodic solutions to functional-differential equations 34K60 Qualitative investigation and simulation of models involving functional-differential equations 92D25 Population dynamics (general) Keywords:positive periodic solution; food chain system; diffusion; coincidence degree theory PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Z. Wang}, J. Korean Math. Soc. 40, No. 5, 869--881 (2003; Zbl 1059.34047) Full Text: DOI