Cui, JinganSun, Yonghong2021-04-262021-04-262004-06-08Cui, J., & Sun, Y. (2004). Permanence of predator-prey system with infinite delay. <i>Electronic Journal of Differential Equations, 2004</i>(81), pp. 1-12.1072-6691https://hdl.handle.net/10877/13435In this paper we consider a predator-prey system with periodic coefficients and infinite delay, in which the prey has a history that takes them through two stages, immature and mature. We provide a sufficient and necessary condition to guarantee the permanence of the system. The system has a positive periodic solution under this condition. Some known results are extended to the delay case.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalPredator-prey systemStage structurePermanencePeriodic solutionsInfinite delayPermanence of predator-prey system with infinite delayArticle