Permanence and global attractivity for Lotka-Volterra difference systems.
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.
Lu
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Z
Department of Mathematics, Sichuan University, Chengdu 610064, China. nic2601@pridns.scuu.edu.cn
Wang
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W
D000818:Animals; D001522:Behavior, Animal; D004463:Ecology; D011235:Predatory Behavior