文章基本信息

标题：Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays
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作者：Changjin Xu ; Yusen Wu ; Lin Lu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：208
DOI：10.1186/1687-1847-2014-208
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we deal with a discrete Lotka-Volterra predator-prey model with time-varying delays. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained by using differential inequality theory. For the periodic case, sufficient conditions which guarantee the existence of a unique globally stable positive periodic solution are established. The paper ends with some interesting numerical simulations that illustrate our analytical predictions. MSC:34K20, 34C25, 92D25.
关键词：Lotka-Volterra predator-prey model ; permanence ; global attractivity ; delay