Permanence of predator-prey system with infinite delay
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Date
2004-06-08
Authors
Cui, Jingan
Sun, Yonghong
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Predator-prey system, Stage structure, Permanence, Periodic solutions, Infinite delay
Citation
Cui, J., & Sun, Y. (2004). Permanence of predator-prey system with infinite delay. Electronic Journal of Differential Equations, 2004(81), pp. 1-12.
Rights
Attribution 4.0 International