| 一类具有非线性发生率的SIR传染病模型的全局稳定性 |
| |
| 引用本文： | 宫兆刚,杨柳.一类具有非线性发生率的SIR传染病模型的全局稳定性[J].数学的实践与认识,2012,42(13):258-261. |
| |
| 作者姓名： | 宫兆刚 杨柳 |
| |
| 作者单位： | 衡阳师范学院数学与计算科学系,湖南衡阳,421008 |
| |
| 基金项目： | 衡阳师范学院科学基金青年项目 |
| |
| 摘 要： | 研究一类具有非线性发生率的SIR传染病模型.应用微分方程定性理论分别得到了该系统无病平衡点、地方病平衡点全局渐近稳定的充分条件,并进行了数值模拟.
|
| 关 键 词： | 传染病模型 非线性发生率 平衡点 全局稳定性 |
Global Stability of an SIR Epidemic Model with Nonlinear Incidence Rate |
| |
| GONG Zhao-gang
,
Yang liu.Global Stability of an SIR Epidemic Model with Nonlinear Incidence Rate[J].Mathematics in Practice and Theory,2012,42(13):258-261. |
| |
| Authors: | GONG Zhao-gang Yang liu |
| |
| Institution: | (Department of Mathematics and Computing Sciences,Hengyang Normal University,Hengyang Hunan 421008, China) |
| |
| Abstract: | An SIR epidemic model with nonlinear incidence rate is investigated.By using the qualitative theory of ordinary differential equations,sufficient conditions are obtained for the global asymptotic stability of each of feasible equilibrium to the proposed model.Also, some numerical simulations are provided to confirm our analytic results. |
| |
| Keywords: | epidemic model nonlinear incidence rate equilibrium global stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
