| 具有脉冲效应的害虫管理系统的灭绝性与持续性 |
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| 引用本文： | 陶有德.具有脉冲效应的害虫管理系统的灭绝性与持续性[J].大学数学,2011,27(5):27-32. |
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| 作者姓名： | 陶有德 |
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| 作者单位： | [1]信阳师范学院数学与信息科学学院,河南信阳464000;[2]北京信息控制研究所,北京100037 |
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| 摘 要： | 研究一类具有脉冲效应的害虫管理系统,讨论了系统的灭绝性和持续性,给出了系统灭绝和持续生存的阈值条件,并对所得结论进行了数值模拟.
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| 关 键 词： | 脉冲效应 灭绝 持续 全局渐近稳定 |
The Extinction and Permanence of Pest Management System with Impulsive Effect |
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| TAO You-de.The Extinction and Permanence of Pest Management System with Impulsive Effect[J].College Mathematics,2011,27(5):27-32. |
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| Authors: | TAO You-de |
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| Institution: | TAO You-de1,2(1.College of Mathematics and Information Sciences,Xinyang Normal University,Xinyang Henan 464000,China,2.Beijing Institute of Information Control,Beijing 100037,China) |
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| Abstract: | A pest management system with impulsive effect is studied in this paper. The extinction and permanence of system is discussed, and the conditions of the extinction and permanence are given. Furthermore, those results obtained in this paper are confirmed by numerical simulation. |
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| Keywords: | impulsive effect extinction permanence global asymptotic stability |
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