Permanence of predator-prey system with infinite delay

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. <i>Electronic Journal of Differential Equations, 2004</i>(81), pp. 1-12.

Rights

Attribution 4.0 International

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