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GLOBAL ATTRACTIVITY IN A PREDATOR–PREY SYSTEM WITH PURE DELAYS

Published online by Cambridge University Press:  28 July 2008

X. H. Tang  and
Xingfu Zou
X. H. Tang
Affiliation:
Department of Applied Mathematics, Central South University, Changsha, Hunan 410083, China (tangxh@mail.csu.edu.cn)
Xingfu Zou
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada (xzou@uwo.ca)
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Abstract

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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.

Keywords

Primary 34K2090D25predator–prey systempure delayglobal attractivity
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 2 , June 2008 , pp. 495 - 508
Copyright
Copyright © Edinburgh Mathematical Society 2008