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pure delay

Proceedings of the Edinburgh Mathematical Society (1)

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GLOBAL ATTRACTIVITY IN A PREDATOR–PREY SYSTEM WITH PURE DELAYS
X. H. Tang, Xingfu Zou
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 51 / Issue 2 / June 2008

Published online by Cambridge University Press:

28 July 2008, pp. 495-508
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We consider a delay predator–prey system without instantaneous negative feedback and establish some conditions for global attractivity of the positive equilibrium of the system which generalize and improve some of the existing ones. When the system is decoupled, one of the main results reduces to the well-known Wright 3/2 stability condition for the delayed logistic equation.