| 一类SIQS传染病模型稳定性分析 |
| |
| 引用本文： | 李琪,陈绍东.一类SIQS传染病模型稳定性分析[J].兰州理工大学学报,2012,38(1):167-172. |
| |
| 作者姓名： | 李琪 陈绍东 |
| |
| 作者单位： | 1. 西安建筑科技大学理学院,陕西西安,710055
2. 南阳理工学院应用数学系,河南南阳,473004 |
| |
| 摘 要： | 建立一类具有一般非线性接触率及染病年龄结构的SIQS传染病模型.运用不动点定理、Bellman-Gronwall引理及Laplace变换等方法讨论地方病平衡点的存在性及稳定性,无病平衡点的稳定性.得到地方病平衡点指数渐近稳定的一般性条件.
|
| 关 键 词： | 隔离 非线性接触率 染病年龄 SIQS传染病模型 |
Stability analysis of a class of SIQS epidemic disease model |
| |
| LI Qi
,
CHEN Shao-dong.Stability analysis of a class of SIQS epidemic disease model[J].Journal of Lanzhou University of Technology,2012,38(1):167-172. |
| |
| Authors: | LI Qi CHEN Shao-dong |
| |
| Institution: | 1.School of Science,Xi’an University of Architecture and Technology,Xi’an 710055,China;2.Department of Mathematics,Nanyang Institute of Technology,Nanyang 473004,China) |
| |
| Abstract: | A class of SIQS epidemic disease model with general nonlinear contact rate and infection-age was formulated.By using the fixed theorem,Bellman-Gronwall lemma and Laplace transformation,the existence and stability of endemic disease equilibrium,the stability of disease-free equilibrium were discussed,respectively.In the same time,an ordinary condition was obtained under which the endemic disease equilibrium index was of exponential asymptotical stability. |
| |
| Keywords: | quarantine nonlinear contact rate infection-age SIQS epidemic disease model |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
