Global stability of an age-structured sir epidemic model with pulse vaccination strategy

CSpace

	Global stability of an age-structured sir epidemic model with pulse vaccination strategy
其他题名	GLOBAL STABILITY OF AN AGE-STRUCTURED SIR EPIDEMIC MODEL WITH PULSE VACCINATION STRATEGY
	Liu Helong 1; Yu Jingyuan 2; Zhu Guangtian 3
	2012
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	25 期号:3 页码:417-429
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.
其他摘要	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.
关键词	INFECTION-AGE THRESHOLD MEASLES Impulsive differential equations impulsive period infection age infection-free situation optimal vaccination strategy
收录类别	CSCD
语种	英语
资助项目	[Natural Science Foundation of Henan Province] ; [Educational Department of Henan Province]
CSCD记录号	CSCD:4689952
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57209
专题	中国科学院数学与系统科学研究院
作者单位	1.信阳师范学院 2.Beijing Institute Informat & Control, Beijing 100037, Peoples R China 3.中国科学院数学与系统科学研究院
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.