J Austral Math Soc Ser B 38 pp149--162, 1996.

Global attractivity in time-delayed predator-prey systems

Yulin Cao and H. I. Freedman

(Received 26 May 1994; revised 5 October 1995)

Abstract

For a predator-prey model with time-delay due to gestation, criteria are obtained for persistence and global attractivity. The global attractivity criteria apply only to models with a decreasing prey isocline.

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Authors

Yulin Cao
Department of Mathematics, University of Georgia, Athens, Georgia 30602, USA.
Present address: Department of Mathematics, SUNY at Farmingdale, Route 110, Edmonton, Alberta T6G 2G1, Canada.
H. I. Freedman
Applied Mathematics Institute, Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada.

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