| 捕食者具脉冲扰动与相互干扰的阶段结构时滞捕食-食饵模型 |
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| 引用本文： | 焦建军,张文专.捕食者具脉冲扰动与相互干扰的阶段结构时滞捕食-食饵模型[J].系统科学与数学,2008,28(7):791-801. |
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| 作者姓名： | 焦建军 张文专 |
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| 作者单位： | 1. 贵州财经学院数学与统计学院,贵阳,550004
2. 大连理工大学应用数学系,大连,116024 |
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| 基金项目： | 国家自然科学基金，贵州省教育厅自然科学基金 |
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| 摘 要： | 讨论了与害虫管理相关的一类捕食者具脉冲扰动与相互干扰的阶段结构时滞捕食-食饵模型,得到了害虫灭绝周期解的全局吸引和系统持久的充分条件,也证明了系统的所有解的一致完全有界.我们的结论为现实的害虫管理提供了一定的理论依据.
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| 关 键 词： | 脉冲扰动 阶段结构 相互干扰 全局吸引 一致持久 |
| 收稿时间： | 2007-3-16 |
| 修稿时间： | 2007-7-2 |
A Mutual Interference Stage-Structured Predator-Prey Model with Time Delay and Impulsive Perturbations on Predators |
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| JIAO Jianjun,ZHANG Wenzhuan.A Mutual Interference Stage-Structured Predator-Prey Model with Time Delay and Impulsive Perturbations on Predators[J].Journal of Systems Science and Mathematical Sciences,2008,28(7):791-801. |
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| Authors: | JIAO Jianjun ZHANG Wenzhuan |
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| Institution: | School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang 550004; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024 |
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| Abstract: | A mutual interference stage-structured predator-prey model is considered with time delay and impulsive perturbation on predators. Sufficient conditions are obtained, which guarantee the global attractivity of pest-extinction periodic solution and permanence of the system. It is shown that all solutions of the system are uniformly ultimately bounded. The obtained results can be helpful for the practical pest management. |
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