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