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

Guichen Lu; Zhengyi Lu

doi:10.3934/mbe.2008.5.477

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2008, Volume 5, Issue 3: 477-484. Doi: 10.3934/mbe.2008.5.477

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

Guichen Lu^1, and
Zhengyi Lu^1,

1.
Department of Mathematics, Wenzhou University, Wenzhou, 325035

Received: July 31, 2007

Revised: November 30, 2007

Published: May 2008

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Abstract

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.

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Mathematics Subject Classification: 92D30.

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