| 基于四次函数根的判别法划分麦蚜生态系统燕尾突变区域模型 |
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| 引用本文： | 李媛,赵立纯.基于四次函数根的判别法划分麦蚜生态系统燕尾突变区域模型[J].辽宁科技大学学报,2014(5):449-454. |
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| 作者姓名： | 李媛 赵立纯 |
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| 作者单位： | 1. 辽宁科技大学 理学院,辽宁 鞍山,114051
2. 鞍山师范学院 数学与信息科学学院,辽宁 鞍山,114005 |
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| 基金项目： | 辽宁省教育厅项目(L2014454)。 |
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| 摘 要： | 根据四次函数实根的判别方法，得到麦蚜生态系统燕尾突变模型平衡点个数的变化情况以及模型分歧点集的表达式，并划分麦蚜生态系统的突变区域，分析了燕尾突变的突变特征，为进一步揭示麦蚜生态系统的突变现象提供基础。
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| 关 键 词： | 麦蚜生态系统 燕尾突变模型 分歧点集 四次函数 |
Division of catastrophe regions of swallowtail catastrophe model for wheat aphids ecosystem based on criterion of roots of quartic functions |
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| LI Yuan,ZHAO Lichun.Division of catastrophe regions of swallowtail catastrophe model for wheat aphids ecosystem based on criterion of roots of quartic functions[J].Journal of University of Science and Technology Liaoning,2014(5):449-454. |
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| Authors: | LI Yuan ZHAO Lichun |
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| Institution: | LI Yuan, ZHAO Lichun ( 1.School of Science, University of Science and Technology Liaoning, Anshan 114051, China; 2. School of Mathematics and Information Science, Anshan Normal University,Anshan 114005, China) |
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| Abstract: | Using the criterion of roots of quartic functions,the numbers of equilibrium points and the bifurca-tion set of the swallowtail catastrophe model for the wheat aphids ecosystem are given. Then,the corresponding catastrophe regions are divided and mutation characteristics of swallowtail catastrophe are analyzed. It may provide the basis for further analysis of the catastrophe phenomena of the aphids ecosystem. |
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| Keywords: | wheat aphids ecosystem swallowtail catastrophe model bifurcation set quartic functions |
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