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Permanence and global attractivity for Lotka–Volterra difference systems

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Abstract.

 The permanence and global attractivity for two-species difference systems of Lotka–Volterra type are considered. It is proved that a cooperative system cannot be permanent. For a permanent competitive system, the explicit expression of the permanent set E is obtained and sufficient conditions are given to guarantee the global attractivity of the positive equilibrium of the system.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu 610064, China. e-mail: nic2601@pridns.scuu.edu.cn, , , , , , CN

    Zhengyi Lu

  2. Department of Mathematics, Southwest Normal University, Chongqing 400715, China, , , , , , CN

    Wendi Wang

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  1. Zhengyi Lu
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  2. Wendi Wang
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Received: 21 May 1997 / Revised version: 25 November 1998

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Lu, Z., Wang, W. Permanence and global attractivity for Lotka–Volterra difference systems. J Math Biol 39, 269–282 (1999). https://doi.org/10.1007/s002850050171

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  • DOI: https://doi.org/10.1007/s002850050171

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