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

摘要

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 correspond-ing 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.%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。