| 基于生物防治的脉冲控制害虫模型分析 |
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| 引用本文： | 徐为坚,黄一友.基于生物防治的脉冲控制害虫模型分析[J].广西科学,2009,16(3):253-255,263. |
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| 作者姓名： | 徐为坚 黄一友 |
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| 作者单位： | 1. 玉林师范学院数学与计算机科学系,广西玉林,537000
2. 浦北县外国语学校,广西浦北,535300 |
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| 基金项目： | 广西科学基金项目，广西教育厅科研项目 |
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| 摘 要： | 基于昆虫病毒防治害虫的策略，建立具有脉冲效应的微分方程模型，证明该模型害虫灭绝周期解的全局渐近稳定性及持久性，并得到害虫灭绝周期解全局渐近稳定的最大脉冲周期．
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| 关 键 词： | 脉冲控制 周期解 全局渐近稳定 |
| 收稿时间： | 2009/3/5 0:00:00 |
Analysis of Impulsive Control Pest Model Based on Biological Control |
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| XU Wei-jian and HUANG Yi-you.Analysis of Impulsive Control Pest Model Based on Biological Control[J].Guangxi Sciences,2009,16(3):253-255,263. |
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| Authors: | XU Wei-jian and HUANG Yi-you |
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| Institution: | XU Wei-jian,HUANG Yi-you (1. Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China ; 2. Pubei Foreign Languages School, Pubei, Guangxi, 535300, China) |
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| Abstract: | Based on the control strategy of using insect viruses to control pests,a differential equation model with impulsive control is constructed, and the globally asymptotical stability of pest- eradication periodic solution and the permanence of the model are proved. Furthermore, the maximum pulse period of the pest-eradication periodic solution＇ s globally asymptotical stability is obtained. |
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| Keywords: | impulsive control periodic solution globally asymptotical stability |
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