| SARS扩散模型及稳定性分析 |
| |
| 引用本文： | 金跃强. SARS扩散模型及稳定性分析[J]. 南京工业职业技术学院学报, 2008, 8(2): 67-70 |
| |
| 作者姓名： | 金跃强 |
| |
| 作者单位： | 南京工业职业技术学院,基础课部,江苏,南京,2100146 |
| |
| 摘 要： | 针对SARS的传播与控制的特点，分别建立了无察觉模型、放任模型、隔离模型、区域模型，并分析了四个模型的实效性，给出了隔离模型稳定焦点的充分条件和区域模型运用特征值判别法或利用巴尔巴欣公式找Liapunov函数判定其零解的稳定性的方法。
|
| 关 键 词： | SARS Bendixson-Dulac判剐法 巴尔巴欣公式 |
On SARS Spreading Model and Stability Analysis |
| |
| JIN Yue-qiang. On SARS Spreading Model and Stability Analysis[J]. Journal of Nanjing Institute of Industry Technology, 2008, 8(2): 67-70 |
| |
| Authors: | JIN Yue-qiang |
| |
| Affiliation: | JIN Yue - qiang ( Nanjing Institute of Industry Technology, Nanjing 210016, China ) |
| |
| Abstract: | In view of SARS spreading and control, we established the unrealized model, unrestrained model, segregate model and district model under different conditions respectively and analyzed the effectiveness of the four models. We also made functional analysis of the last two models and applied the Bendixson-Dulac criterion to the segregate model to discuss the singular point of this type, achieving the sufficient condition of the singular point under which a stable focal point is evaluated. |
| |
| Keywords: | SARS |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
