The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
文献类型：期刊论文
| 作者 | Lu, ZH; Chi, XB; Chen, LS |
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 2002-12-01 |
| 卷号 | 36期号:9-10页码:1039-1057 |
| 关键词 | pulse vaccination horizontal and vertical transmission impulsive differential inequality bifurcation convergence |
| ISSN号 | 0895-7177 |
| 英文摘要 | A SIR epidemic model with horizontal and vertical transmission is presented. The dynamics of this disease model under constant and pulse vaccination are analyzed. Theoretical results show that under constant vaccination, the dynamic behavior is similar to no vaccination. But under a planned pulse vaccination regime, the system converges to a stable periodic solution with the number of infectious individuals equal to zero. Further, the global stability of an infection-free periodic solution is analyzed. And the existence of a nontrivial periodic solution (endemic) is considered by using bifurcation theory. Our theoretical results are confirmed by numerical simulations. The effectiveness of constant and pulse vaccination policies are compared. (C) 2002 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179831100009 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17726]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lu, ZH |
| 作者单位 | 1.Chinese Acad Sci, Comp Network Informat Ctr, Supercomp Ctr, Beijing 100080, Peoples R China 2.Xian Inst Finance & Econ, Dept Stat, Xian 710061, Peoples R China 3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, ZH,Chi, XB,Chen, LS. The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission[J]. MATHEMATICAL AND COMPUTER MODELLING,2002,36(9-10):1039-1057. |
| APA | Lu, ZH,Chi, XB,&Chen, LS.(2002).The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission.MATHEMATICAL AND COMPUTER MODELLING,36(9-10),1039-1057. |
| MLA | Lu, ZH,et al."The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission".MATHEMATICAL AND COMPUTER MODELLING 36.9-10(2002):1039-1057. |
入库方式： OAI收割
来源：数学与系统科学研究院
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