| 一类富营养湖泊中藻类的状态反馈控制模型 |
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| 引用本文： | 傅金波,郭红建.一类富营养湖泊中藻类的状态反馈控制模型[J].信阳师范学院学报(自然科学版),2015(1):4-7. |
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| 作者姓名： | 傅金波 郭红建 |
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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. 信阳师范学院数学与信息科学学院,河南信阳,464000 |
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| 基金项目： | 国家自然科学基金项目(11171284，11371306)；福建省教育厅自然科学基金项目(JA13370)；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)；河南省高校科技创新人才支持计划 |
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| 摘 要： | 建立了一类具有状态反馈控制的湖泊营养成分与藻类的生态系统.在无脉冲控制系统定性分析结果的基础上,利用微分方程的几何理论研究了所建状态脉冲系统阶1周期解的存在性,并给出了轨道稳定性的条件.
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| 关 键 词： | 湖泊富营养化 状态反馈 脉冲控制 阶1周期解 |
A Class of Eutrophic Lakes Model of Algae with State Feedback Control |
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| Fu Jinbo,Guo Hongjian.A Class of Eutrophic Lakes Model of Algae with State Feedback Control[J].Journal of Xinyang Teachers College(Natural Science Edition),2015(1):4-7. |
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| Authors: | Fu Jinbo Guo Hongjian |
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| Institution: | Fu Jinbo;Guo Hongjian;Minnan Science and Technology Institute,Fujian Normal University;College of Mathematics and Information Science,Xinyang Normal University; |
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| Abstract: | A class of ecological system of lake nutrients and algae with state feedback control was presented.Based on the qualitative analysis results of the system without impulsive control,the existences of order-1 periodic solution about the impulsive system were proved by using the geometric theory of differential equations. The conditions for the orbital stability of order-1 periodic solution were given. |
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| Keywords: | lake eutrophication state feedback impulsive control order-1 periodic solution |
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