| 有治愈的非线性传染力SIS模型渐近性分析 |
| |
| 引用本文： | 孙峥,李宝成. 有治愈的非线性传染力SIS模型渐近性分析[J]. 南京理工大学学报(自然科学版), 2003, 27(Z1): 81-83 |
| |
| 作者姓名： | 孙峥 李宝成 |
| |
| 作者单位： | 南京理工大学理学院,南京,210094 |
| |
| 摘 要： | 运用微分方程稳定性理论,对有治愈的非线性传染力SIS模型平衡点的稳定性给出定性分析.即求得系统的无病平衡点和正平衡点,并利用线性近似理论和Liapunov泛函研究平衡点的局部稳定和全局渐近稳定性.
|
| 关 键 词： | 非线性传染力 平衡点 稳定性 |
| 修稿时间： | 2003-01-06 |
Asymptotically Analysis of the Curability Nonlinear Infectivity Model |
| |
| Sun Zheng Li Baocheng. Asymptotically Analysis of the Curability Nonlinear Infectivity Model[J]. Journal of Nanjing University of Science and Technology(Nature Science), 2003, 27(Z1): 81-83 |
| |
| Authors: | Sun Zheng Li Baocheng |
| |
| Abstract: | By using the stability theory of the ordinary differential Equations, the authors have made a qualitative analysis of the equilibrium points,stability of the Curable Nonlinear Infection Model. It's that, we obtain trivial-equilibrium and positive endemic-equilibrium of the models. Using the signal of characteristic roots and Liapunove functional, we also obtain the sufficient conditions for the local asymptotically stability and global asymptotically stability of the equilibrium points. |
| |
| Keywords: | nonlinear-infection equilibrium points stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
