| 一类关于教与学的微分方程模型的建立与分析 |
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| 引用本文： | 檀大耀,王书讲.一类关于教与学的微分方程模型的建立与分析[J].南阳师范学院学报,2010,9(9):24-26. |
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| 作者姓名： | 檀大耀 王书讲 |
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| 作者单位： | 1. 钦州学院,数学与计算机科学系,广西,钦州,535000
2. 江门市蓬江区教育局,广东,江门,529020 |
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| 基金项目： | 广西教育厅科研项目，广西学位与研究生教育改革与发展专项课题 |
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| 摘 要： | 考虑教师的教学能力与班集体的学习指数的关系,建立了一类关于教与学的微分方程模型,并对该模型进行定性分析,得到了系统平衡点的性质并证明了该系统在整个平面内无闭轨.
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| 关 键 词： | 平衡点 学习指数 稳定性 |
Establishing a model and qualitative analysis for a class of differential equation of teaching and studying |
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| TAN Da-yao,WANG Shu-jiang.Establishing a model and qualitative analysis for a class of differential equation of teaching and studying[J].Journal of Nanyang Teachers College,2010,9(9):24-26. |
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| Authors: | TAN Da-yao WANG Shu-jiang |
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| Institution: | 1.Department of Mathematics and Computer Science,Qinzhou University,Qinzhou 535000,China;2.Pengjiang Education Bureau of Jiangmen,Jiangmen 529020,China) |
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| Abstract: | In this paper,considering the relation between teaching ability of teachers and study expenont of a class,a differential equation model is introduced.Some properties of equilibrium points for the system are obtained,and it is proved that the system hasn＇t any closed orbit in the plane. |
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| Keywords: | equilbrium points study expenont stability |
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