Permanence of predator-prey system with stage structure

Jing-An Cui; Xinyu Song

doi:10.3934/dcdsb.2004.4.547

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2004, Volume 4, Issue 3: 547-554. Doi: 10.3934/dcdsb.2004.4.547

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Permanence of predator-prey system with stage structure

Jing-An Cui^1, and
Xinyu Song^2,

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

Received: August 31, 2002

Revised: September 30, 2003

Published: July 2005

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Abstract

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.

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Mathematics Subject Classification: 34C25, 92D25.

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