| 一类具有脉冲和食饵具有阶段结构的时滞捕食模型的定性分析 |
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| 引用本文： | 王玲书,徐瑞,冯光辉. 一类具有脉冲和食饵具有阶段结构的时滞捕食模型的定性分析[J]. 北华大学学报(自然科学版), 2011, 0(2): 125-130 |
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| 作者姓名： | 王玲书 徐瑞 冯光辉 |
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| 作者单位： | 河北经贸大学数学与统计学学院;军械工程学院基础部; |
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| 基金项目： | 国家自然科学基金项目(10671209,10926064); 河北省教育厅科学研究计划项目(2009114) |
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| 摘 要： | 讨论了与害虫治理相关的一类食饵具有阶段结构和时滞的捕食模型,并对其动力学性质进行了分析.证明了系统所有的解是一致完全有界的,并且得到了害虫灭绝周期解的全局吸引和系统永久持续生存的充分条件.
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| 关 键 词： | 脉冲 时滞 阶段结构 灭绝 持续生存 |
Analysis of a Stage-structured and Delayed Predator-Prey Model Concerning Impulsive Effect |
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| WANG Ling-shu,,XU Rui,FENG Guang-hui. Analysis of a Stage-structured and Delayed Predator-Prey Model Concerning Impulsive Effect[J]. Journal of Beihua University(Natural Science), 2011, 0(2): 125-130 |
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| Authors: | WANG Ling-shu XU Rui FENG Guang-hui |
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| Affiliation: | WANG Ling-shu1,2,XU Rui2,FENG Guang-hui2(1.School of Mathematics and Statistics,Hebei University of Economics & Business,Shijiazhuang 050061,China,2.Basic Department of Mechanical Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | A delayed predator-prey model with stage-structure of the prey and time delay due to the maturity of the prey is investigated.We proved that the positive solutions are ultimately bounded.Sufficient conditions are derived for the global attractivity of the pest-eradication periodic solution and the permanence of the system. |
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| Keywords: | impulses delay stage-structure extinction permanence |
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