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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
Affiliation:
Department of Applied Mathematics, Central South University, Changsha, Hunan 410083, China ([email protected])
Xingfu Zou
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada ([email protected])
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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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2008