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

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

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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Keywords permanence; cooperative; discrete delay; Lotka-Volterra system

Citation: Guichen Lu, Zhengyi Lu. Permanence for two-species Lotka-Volterra cooperative systems with delays. Mathematical Biosciences and Engineering, 2008, 5(3): 477-484. doi: 10.3934/mbe.2008.5.477


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