| 具有潜伏期和双线性发生率的SEIR传染病模型的全局稳定性 |
| |
| 引用本文： | 薛春荣.具有潜伏期和双线性发生率的SEIR传染病模型的全局稳定性[J].河南科学,2014(12):2444-2447. |
| |
| 作者姓名： | 薛春荣 |
| |
| 作者单位： | 渭南师范学院数学与信息科学学院,陕西渭南,714000 |
| |
| 基金项目： | 陕西省自然科学基金项目(2010JK532);渭南师范学院科研项目(13YKS008) |
| |
| 摘 要： | 建立了一类具有潜伏期和双线性发生率的SEIR传染病模型,得到疾病绝灭与否的阈值R0.证明了当R01时,模型惟一的无病平衡是全局渐近稳定的,疾病最终绝灭;当R01时,模型的地方病平衡点是全局渐近稳定,疾病将持续.
|
| 关 键 词： | 潜伏期 SEIR模型 阈值 全局稳定性 轨道渐近稳定 |
Global Stability of SEIR Epidemic Model with Latency and Bilinear Rate |
| |
| Xue Chunrong.Global Stability of SEIR Epidemic Model with Latency and Bilinear Rate[J].Henan Science,2014(12):2444-2447. |
| |
| Authors: | Xue Chunrong |
| |
| Institution: | Xue Chunrong (Department of Mathematics and Information Science, Weinan Normal University, Weinan 714000, Shaanxi China) |
| |
| Abstract: | In this paper a kind of SEIR epidemic model with latency and bilinear rate is constructed,and thresholdof disease extinction or not is obtained. The existence and global stabilities of the disease-free equilibrium and theendemic equilibrium are proved. |
| |
| Keywords: | latent period SEIR model threshold global stability orbital symptotical stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
