| 一类带有连续投放和脉冲控制的害虫管理SI数学模型 |
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| 引用本文： | 陶有德,王霞,于景元.一类带有连续投放和脉冲控制的害虫管理SI数学模型[J].数学的实践与认识,2010,40(11). |
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| 作者姓名： | 陶有德 王霞 于景元 |
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| 基金项目： | 国家自然科学基金，河南重点科技攻关项目，河南省教育厅自然科学基金 |
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| 摘 要： | 研究一类具有连续投放和脉冲控制的害虫管理SI数学模型,证明了连续投放系统正平衡点的全局渐近稳定性,讨论了脉冲控制系统的持续性,并对所得结论进行了数值模拟.
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| 关 键 词： | 连续投放 脉冲控制 持续生存 全局渐近稳定 |
A Kind of Pest Management Model with Continuous Input and Impulsive Control Strategies |
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| TAO You-de,WANG Xia,YU Jing-yuan.A Kind of Pest Management Model with Continuous Input and Impulsive Control Strategies[J].Mathematics in Practice and Theory,2010,40(11). |
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| Authors: | TAO You-de WANG Xia YU Jing-yuan |
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| Abstract: | Mathematical models for the continuous input and impulsive control strategies of a pest population by infected pest is considered,respectively.The globally asymptotical stability of the positive balance point of the control input system is proved,and the permanence of the impulsive control system is discussed.At the same time,those results obtained in this paper are confirmed by numerical simulation. |
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| Keywords: | continuous input impulsive control permanence global asymptotic stability |
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