节点文献
一个淋病扩散模型的定性分析
THE QUALITATIVE ANALYSIS OF A MODEL FOR THE SPREAD OF GONORRHOEA
【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.
【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.
【关键词】 淋病扩散模型;
全局渐近稳定性;
鞍结点;
【Key words】 Model for the spread of gonorrhoea; global asymptotic stability; saddle node;
【Key words】 Model for the spread of gonorrhoea; global asymptotic stability; saddle node;
- 【文献出处】 数学杂志 ,JOURNAL OF MATHEMATICS , 编辑部邮箱 ,1999年04期
- 【分类号】R759.2;O175
- 【下载频次】32