| 摘要: |
| 通过研究一类传染率为周期函数且具有双线性传染项的SEIR模型的等价系统、子系统和其它的一些变换形式,两次利用拓扑度理论和连续性定理证明该模型至少存在一个正周期解,并通过数值模拟验证该结论是正确的. |
| 关键词: 传染病模型 周期解 稳定性 |
| DOI： |
| 投稿时间：2010-07-15修订日期：2010-09-29 |
| 基金项目: |
|
| Periodic Solution of a SEIR Epidemic Model |
|
XU Cui-cui
|
| (Shannxi Railway Institute, Weinan, Shaanxi, 714000, China) |
| Abstract: |
| We obtained the existence of one periodic solution of SEIR model with periodic infectious parameter and bilinear incidence by using the coincidence degree theorem, continuous theorem, and other transformations twice.Meanwhile, numerical simulations verified our theoretical results. |
| Key words: epidemic model periodic solution stability |
