| 无公害害虫治理策略的数学研究 |
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| 引用本文： | 傅金波,陈兰荪.无公害害虫治理策略的数学研究[J].数学的实践与认识,2011,41(2). |
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| 作者姓名： | 傅金波 陈兰荪 |
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| 作者单位： | 1. 福建师范大学,闽南科技学院,福建,泉州,362332
2. 福建师范大学,闽南科技学院,福建,泉州,362332;中国科学院,数学与系统科学研究院数学研究所,北京,100080 |
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| 基金项目： | 福建省自然科学基金(JB09078); 福建师范大学闽南科技学院青年骨干教师重点培养对象(mkq201006) |
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| 摘 要： | 首先应用状态脉冲反馈控制的理论,建立了无公害害虫治理中的数学模型,并且对所建的模型进行定性分析,利用微分方程几何理论中后续函数法得到系统的阶一周期解存在的充分条件,证明该周期解是轨道渐近稳定的,同时利用数值模拟的手段讨论了系统在害虫治理中的应用意义.
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| 关 键 词： | 无公害害虫治理 状态脉冲微分方程 阶一周期解 后继函数 |
Mathematical Study on Non-polluted Strategy for Pest Control |
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| FU Jin-bo,CHEN Lan-sun.Mathematical Study on Non-polluted Strategy for Pest Control[J].Mathematics in Practice and Theory,2011,41(2). |
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| Authors: | FU Jin-bo CHEN Lan-sun |
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| Institution: | FU Jin-bo~1,CHEN Lan-sun~(1,2) (1.Minnan Science and Technology Institute,Fujian Normal University,Quanzhou 362332,China) (2.Institute of Mathematics Academia Sinica,Beijing 100080,China) |
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| Abstract: | In this paper,a non-polluted pest control model is firstly established by using statedependent impulses feedback control theory.Further,by using successor function of differential equation geometry rules,the sufficient conditions for the existence and orbitally asymptotic stability of first order periodic solution are obtained.Finally,Numerical results show that the system we considered are full of application meaning on the pest control management. |
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| Keywords: | Non-polluted Strategy for Pest Control state-dependent impulses differential equation first order periodic solution successor function |
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