| 引用本文： |
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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. [点击复制]
- XU Wei-jian,HUANG Yi-you.Analysis of Impulsive Control Pest Model Based on Biological Control[J].Guangxi Sciences,2009,16(3):253-255,263. [点击复制]
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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. |
| 关键词: 脉冲控制 周期解 全局渐近稳定 |
| DOI： |
| 投稿时间：2009-03-05 |
| 基金项目:广西科学基金项目(桂科自0991283);广西教育厅科研项目(200707LX143)资助 |
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| Analysis of Impulsive Control Pest Model Based on Biological Control |
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XU Wei-jian1, HUANG Yi-you2
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| (1.Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China;2.Pubei Foreign Languages School, Pubei, Guangxi, 535300, China) |
| 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. |
| Key words: impulsive control periodic solution globally asymptotical stability |
