文章基本信息

标题：Dynamics of a delayed discrete semi-ratio-dependent predator-prey system with Holling type IV functional response
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作者：Hongying Lu ; Weiguo Wang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：7
DOI：10.1186/1687-1847-2011-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：A discrete semi-ratio-dependent predator-prey system with Holling type IV functional response and time delay is investigated. It is proved the general nonautonomous system is permanent and globally attractive under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence and global attractivity of positive periodic solutions. We show that the conditions for the permanence of the system and the global attractivity of positive periodic solutions depend on the delay, so, we call it profitless.
关键词：Discrete ; Semi-ratio-dependent ; Holling type IV functional response ; Permanence ; Global attractivity