| 旋转向量场中的阶二周期解 |
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| 引用本文： | 姬雪晖,魏春金,陈兰荪.旋转向量场中的阶二周期解[J].生物数学学报,2011(4):713-720. |
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| 作者姓名： | 姬雪晖 魏春金 陈兰荪 |
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| 作者单位： | 福建师范大学闽南科技学院理工学系;集美大学理学院; |
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| 基金项目： | 集美大学科研基金资助(ZQ2010005) |
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| 摘 要： | 建立了一类具有状态脉冲控制的害虫控制模型以及一类特殊模型,根据半连续动力系统几何理论,研究了旋转向量场中阶二周期解的存在性和稳定性及变化规律.为现实的生物资源管理提供了可靠的策略依据,也丰富了半连续动力系统理论.
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| 关 键 词： | 半连续动力系统 阶二周期解 旋转向量场 |
Order Two Periodic Solution in Rotated Vector Fields |
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| JI Xue-hui WEI Chun-jin CHEN Lan-sun.Order Two Periodic Solution in Rotated Vector Fields[J].Journal of Biomathematics,2011(4):713-720. |
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| Authors: | JI Xue-hui WEI Chun-jin CHEN Lan-sun |
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| Institution: | JI Xue-hui~1 WEI Chun-jin~2 CHEN Lan-sun~1 (1 Department of Technology,Minnan Science and Technology Institute,Fujian Normal University,Quanzhou Fujian 362300 China) (2 Science College,Jimei University,Xiamen Fujian 361021 China) |
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| Abstract: | In this paper,we establish a pest control model with state-dependent impulses and a special model,introduce the definition of rotated vector field of semi-continuous dynamical system,investigate the existence,stability and the change rule of order two periodic solution. The mathematical results provide reliable tactic basis for the resources management and rich the theory of semi-continuous dynamical system. |
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| Keywords: | Semi-continuous dynamical system Order two periodic solution Rotated vector field |
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