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2008, 5(3): 477-484. doi: 10.3934/mbe.2008.5.477

Permanence for two-species Lotka-Volterra cooperative systems with delays

1. 

Department of Mathematics, Wenzhou University, Wenzhou, 325035, China

Received  August 2007 Revised  December 2007 Published  June 2008

In this paper, a two-species Lotka-Volterra cooperative delay sys- tem is considered, and the relationships between the delays and the permanence are obtained. Some sufficient conditions for the permanence under the assumption of smallness of the delays are obtained. Two examples are given to illustrate the theorems.
Citation: Guichen Lu, Zhengyi Lu. Permanence for two-species Lotka-Volterra cooperative systems with delays. Mathematical Biosciences & Engineering, 2008, 5 (3) : 477-484. doi: 10.3934/mbe.2008.5.477
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