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

  • Received: 01 August 2007 Accepted: 29 June 2018 Published: 01 June 2008
  • MSC : 92D30.

  • 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[J]. Mathematical Biosciences and Engineering, 2008, 5(3): 477-484. doi: 10.3934/mbe.2008.5.477

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  • 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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