Permanence of predator-prey system with stage structure

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August 2004, 4(3): 547-554. doi: 10.3934/dcdsb.2004.4.547

Permanence of predator-prey system with stage structure

1.	Institute of Mathematics, School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China
2.	School of Math.& Computer Sci., Nanjing Normal University, Nanjing 210097, China

Received September 2002 Revised October 2003 Published May 2004

Abstract
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We consider a periodic predator-prey system where 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.

Keywords: permanence, Predator-prey system, stage structure, extinction..

Mathematics Subject Classification: 34C25, 92D2.

Citation: Jing-An Cui, Xinyu Song. Permanence of predator-prey system with stage structure. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 547-554. doi: 10.3934/dcdsb.2004.4.547

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