Liu, Yanwei; Liu, Xia; Ren, Lishun Periodic solution to a delayed predator-prey system with stage structure and dispersion. (English) Zbl 1249.34241 Ann. Differ. Equations 27, No. 1, 28-35 (2011). Summary: A delayed two-species predator-prey system with stage structure and diffusion is investigated. Based on the continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive \(\omega\)-periodic solution to the system are derived. A numerical simulation of an example illustrates our main result. MSC: 34K60 Qualitative investigation and simulation of models involving functional-differential equations 47N20 Applications of operator theory to differential and integral equations 92D25 Population dynamics (general) 34K13 Periodic solutions to functional-differential equations Keywords:time delay; periodic solution; stage structure PDF BibTeX XML Cite \textit{Y. Liu} et al., Ann. Differ. Equations 27, No. 1, 28--35 (2011; Zbl 1249.34241)