Global stability of an age-structured sir epidemic model with pulse vaccination strategy
文献类型：期刊论文
| 作者 | Liu Helong2; Yu Jingyuan3; Zhu Guangtian1 |
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2012 |
| 卷号 | 25期号:3页码:417-429 |
| 关键词 | INFECTION-AGE THRESHOLD MEASLES Impulsive differential equations impulsive period infection age infection-free situation optimal vaccination strategy |
| ISSN号 | 1009-6124 |
| 其他题名 | GLOBAL STABILITY OF AN AGE-STRUCTURED SIR EPIDEMIC MODEL WITH PULSE VACCINATION STRATEGY |
| 英文摘要 | This paper discusses the application of a pulse vaccination strategy to prevent and control some infectious diseases, which is described by age-structured SIR model in which susceptible and recovered individuals are structured by chronological age, while infected individuals are structured by infection age (duration since infection). The time dependent disease-free equilibrium is determined, for which an explicit expression exists. The analytical results show that there exists a globally stable infection-free situation if the impulsive period T and proportion p satisfy R (0)(p, T) < 1. Optimal problem is discussed: Pulse vaccination strategy with minimal costs at given R (0)(p, T) < 1. |
| 资助项目 | [Natural Science Foundation of Henan Province] ; [Educational Department of Henan Province] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4689952 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57208]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.信阳师范学院 3.Beijing Institute Informat & Control, Beijing 100037, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu Helong,Yu Jingyuan,Zhu Guangtian. Global stability of an age-structured sir epidemic model with pulse vaccination strategy[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2012,25(3):417-429. |
| APA | Liu Helong,Yu Jingyuan,&Zhu Guangtian.(2012).Global stability of an age-structured sir epidemic model with pulse vaccination strategy.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,25(3),417-429. |
| MLA | Liu Helong,et al."Global stability of an age-structured sir epidemic model with pulse vaccination strategy".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 25.3(2012):417-429. |
入库方式： OAI收割
来源：数学与系统科学研究院
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