| 一类手足口病SEIQR传染病模型的稳定性分析 |
| |
| 引用本文： | 孟新友,向红,朱毓杰,张小兵.一类手足口病SEIQR传染病模型的稳定性分析[J].甘肃科学学报,2012,24(2):42-46. |
| |
| 作者姓名： | 孟新友 向红 朱毓杰 张小兵 |
| |
| 作者单位： | 兰州理工大学理学院,甘肃兰州,730050 |
| |
| 基金项目： | 国家自然科学基金，甘肃省自然科学基金 |
| |
| 摘 要： | 研究了一类具有隔离且潜伏期及感染期均有传染性的手足口病SEIQR传染病模型．得到了该模型的无病平衡点和地方病平衡点局部稳定的条件，构造Lyapunov函数证明了无病平衡点的全局稳定性，并给出数值模拟．
|
| 关 键 词： | 手足口病 隔离 局部稳定性 Lyapunov函数 |
Stability Analysis of a Class of SEIQR Epidemic Model for Hand ,Foot and Mouth Diseases |
| |
| MENG Xin-you
,
XIANG Hong
,
ZHU Yu-jie
,
ZHANG Xiao-bing.Stability Analysis of a Class of SEIQR Epidemic Model for Hand ,Foot and Mouth Diseases[J].Journal of Gansu Sciences,2012,24(2):42-46. |
| |
| Authors: | MENG Xin-you XIANG Hong ZHU Yu-jie ZHANG Xiao-bing |
| |
| Institution: | (School of Sciences,Lanzhou University of Science and Technology,Lanzhou 730050,China) |
| |
| Abstract: | A class of SEIQR epidemic model with quarantine and having an infectious force in both latent and infected periods for hand,foot and mouth diseases is investigated.Some conditions of local stability for the disease-free equilibrium and the endemic equilibrium are obtained by analyzing the roots of the associated characteristic equation.Constructing the Lyapunov function proves the global stability of the disease-free equilibrium.Some numerical simulations are given in the end. |
| |
| Keywords: | HFMD quarantine local stability Lyapunov function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
