| 一个淋病扩散模型的定性分析 |
| |
| 引用本文： | 徐千里.一个淋病扩散模型的定性分析[J].数学杂志,1999,19(4):431-436. |
| |
| 作者姓名： | 徐千里 |
| |
| 作者单位： | 益阳师范高等专科学校!益阳413049 |
| |
| 摘 要： | 本文利用奇点理论与Ｂｅｎｄｉｘｓｏｎ定理对淋病扩散模型进行了定性分析，给出了可行平衡点附近，特别是高阶平衡点附近轨线的定性结构，研究了可行平衡点的全局渐近稳定性，得到了完整的结果。
|
| 关 键 词： | 淋病扩散模型 全局渐近稳定性 鞍结点 定性分析 |
THE QUALITATIVE ANALYSIS OF A MODEL FOR THE SPREAD OF GONORRHOEA |
| |
| Xu Qianli.THE QUALITATIVE ANALYSIS OF A MODEL FOR THE SPREAD OF GONORRHOEA[J].Journal of Mathematics,1999,19(4):431-436. |
| |
| Authors: | Xu Qianli |
| |
| Abstract: | This paper is devoted to the qualitative analysis of a model for the spread of gonorrhoea by using the singularity theory and Bendixson theorem. We provide the qualitative structure of the trajectories near the practical equilibrium points, in particular, near the higher order equilibrium point, study the global asymptotic stability of the practical equilibrium points and obtain the complete result. |
| |
| Keywords: | Model for the spread of gonorrhoea global asymptotic stability saddle node |
| 本文献已被 CNKI 维普 等数据库收录！ |
