The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
文献类型：期刊论文
| 作者 | Meng, Xinzhu1; Chen, Lansun2 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2008-04-01 |
| 卷号 | 197期号:2页码:582-597 |
| 关键词 | permanence pulse vaccination vertical transmission periodic solution |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2007.07.083 |
| 英文摘要 | A new SIR epidemic model with vertical and horizontal transmission is proposed, and the dynamics of this disease model under constant and pulse vaccination are analyzed. Firstly, global stability of the endemic equilibrium states of the model with constant vaccination is thereby established. Further, we show that there exists a stable 'infection-free' periodic solution when the period of impulsive effect is less than some critical value. The condition for the permanence of the system with pulse vaccination is also given, which implies the periodic bursts of epidemic occurs. Numerical simulation shows system with pulse vaccination has more complex dynamic behavior for positive periodic oscillation, 'infection free' quasi-periodic oscillation than system with constant vaccination. Finally, we compare validity of the strategy of pulse vaccination with no vaccination and constant vaccination, and conclude that pulse vaccination strategy is more effective than no vaccination and continuous vaccination. (c) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254254200012 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6320]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Meng, Xinzhu |
| 作者单位 | 1.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China 2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Meng, Xinzhu,Chen, Lansun. The dynamics of a new SIR epidemic model concerning pulse vaccination strategy[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,197(2):582-597. |
| APA | Meng, Xinzhu,&Chen, Lansun.(2008).The dynamics of a new SIR epidemic model concerning pulse vaccination strategy.APPLIED MATHEMATICS AND COMPUTATION,197(2),582-597. |
| MLA | Meng, Xinzhu,et al."The dynamics of a new SIR epidemic model concerning pulse vaccination strategy".APPLIED MATHEMATICS AND COMPUTATION 197.2(2008):582-597. |
入库方式： OAI收割
来源：数学与系统科学研究院
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