| 一类具有饱和发生率的SEIS传染病模型全局稳定性研究 |
| |
| 引用本文： | 王海彬,徐瑞,耿立杰.一类具有饱和发生率的SEIS传染病模型全局稳定性研究[J].军械工程学院学报,2013(5):70-74. |
| |
| 作者姓名： | 王海彬 徐瑞 耿立杰 |
| |
| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
| |
| 基金项目： | 国家自然科学基金资助项目（11071254） |
| |
| 摘 要： | 研究一类易感者和潜伏者都有新增常数输入，疾病具有饱和发生率的SEIS传染病模型．经计算得到模型的基本再生数，证明当基本再生数〉1时，模型只存在惟一的地方病平衡点的结论，并利用特征方程和Hurwitz判据分析地方病平衡点的局部稳定性，通过采用第二加性复合矩阵理论证明地方病平衡点的全局渐近稳定性．
|
| 关 键 词： | 饱和发生率 传染病模型 地方病平衡点 基本再生数 |
Global Stability of an SEIS Epidemic Model with Saturation Incidence |
| |
| WANG Hai-bin,XU Rui,GENG Li-jie.Global Stability of an SEIS Epidemic Model with Saturation Incidence[J].Journal of Ordnance Engineering College,2013(5):70-74. |
| |
| Authors: | WANG Hai-bin XU Rui GENG Li-jie |
| |
| Institution: | (Basic Courses Department,Ordnance Engineering College,Shijiazhuang 050003,China) |
| |
| Abstract: | In this paper,an SEIS epidemic model with a saturation incidence rate and constant re-cruitments both for the susceptibles and the exposed individuals is investigated. After calculation, we give the expression for the basic reproduction number of the model, and it is also proved that the model has a unique endemic equilibrium if the basic reproduction number is greater than uni-ty. With characteristic equation and Hurwitz criterion,the local stability of the endemic equilibri-um is analyzed. Using the second additive compound matrix theory, the global asymptotic stability of the endemic equilibrium is also derived. |
| |
| Keywords: | saturation incidence epidemic model endemic equilibrium basic reproduction number |
| 本文献已被 维普 等数据库收录！ |
