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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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