| 具有连续预防接种的双线性传染率SIQR流行病模型 |
| |
| 引用本文： | 王贺桥,周艳丽,王美娟,徐长永.具有连续预防接种的双线性传染率SIQR流行病模型[J].上海理工大学学报,2007,29(2):113-116. |
| |
| 作者姓名： | 王贺桥 周艳丽 王美娟 徐长永 |
| |
| 作者单位： | 上海理工大学,理学院,上海,200093 |
| |
| 摘 要： | 研究了一类具有预防接种免疫力的SIQR流行病模型全局稳定性.找到了决定疾病绝灭和持续生存的阈值——基本再生数σ.利用线性化和Liapunov-Lasalle不变集的方法,得到了各类评点的稳定性结论,揭示了染病期、隔离项和接种对疾病发展趋势的共同影响.
|
| 关 键 词： | 流行病模型 基本再生数 平衡点 全局渐近稳定性 |
| 文章编号： | 1007-6735（2007）02-0113-04 |
| 修稿时间： | 2005-12-08 |
SIQR epidemical model with continuous vaccinal immunity and bilinear incidence rates |
| |
| WANG He-qiao,ZHOU Yan-li,WANG Mei-juan,XU Chang-yong.SIQR epidemical model with continuous vaccinal immunity and bilinear incidence rates[J].Journal of University of Shanghai For Science and Technology,2007,29(2):113-116. |
| |
| Authors: | WANG He-qiao ZHOU Yan-li WANG Mei-juan XU Chang-yong |
| |
| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
| |
| Abstract: | The global stability of SIQR epidemiological model with continuous vaccinal immunity and bilinear incidence rates is discussed.The reproduction number for the model is found,which determines the existence of the infective disease.By means of linearization and Liapunov-Lasalle invaicant set theorem,the stable results of various equilibriums are obtained.The joint influences of quarantine period,infected period,and vaccinal immunity on the disease are exposed. |
| |
| Keywords: | epidemical model basic reproduction number equilibrium global stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《上海理工大学学报》浏览原始摘要信息 |
| 点击此处可从《上海理工大学学报》下载免费的PDF全文 |
|
