| 基于喷洒杀虫剂及释放病虫的脉冲控制害虫模型 |
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| 引用本文： | 徐为坚,陈兰荪.基于喷洒杀虫剂及释放病虫的脉冲控制害虫模型[J].数学的实践与认识,2008,38(17). |
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| 作者姓名： | 徐为坚 陈兰荪 |
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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. 中国科学院数学与系统科学研究院,北京,100190 |
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| 基金项目： | 国家自然科学基金，广西教育厅科研项目 |
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| 摘 要： | 基于喷洒杀虫剂及释放病虫的综合控制害虫策略,建立了具有脉冲控制的微分方程模型.利用脉冲微分方程的F loquet理论、比较定理,证明了害虫灭绝周期解的全局渐近稳定性与系统的持久性.
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| 关 键 词： | 喷洒杀虫剂 释放病虫 脉冲控制 全局稳定性 持久性 |
Model of Impulsive Pest Control with Spraying Pesticides and Releasing Infective Pests |
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| XU Wei-jian,CHEN Lan-sun.Model of Impulsive Pest Control with Spraying Pesticides and Releasing Infective Pests[J].Mathematics in Practice and Theory,2008,38(17). |
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| Authors: | XU Wei-jian CHEN Lan-sun |
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| Abstract: | Based on the integrated control strategy with spraying pesticides and releasing infective pests to control pests,we construct a model of differential equations with impulsive control.Using the Floquet Theorem of impulsive differential equations and the Comparison Theorem,the globally asymptotical stability of the periodic solution of susceptible pest eradication and the permanence of the system are proven. |
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| Keywords: | spraying pesticides releasing infective pests impulsive control global stability permanence |
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