Global asymptotic stability for the SIV epidemic model with impulsive vaccination and infection age

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	Global asymptotic stability for the SIV epidemic model with impulsive vaccination and infection age
	Liu, HL ; Xu, HB ; Yu, JY ; Zhu, GT
	2006-03-01
发表期刊	JOURNAL OF BIOLOGICAL SYSTEMS
ISSN	0218-3390
卷号	14 期号:1 页码:43-51
摘要	In this paper, we study the application of a pulse vaccination strategy to eradicate hepatitis B and C modeled by SIV epidemic model. Since infection age is an important factor of hepatitis progression, we incorporate the infection age into the model. In this model, we consider the infectiousness of latent individuals. We derive the condition in which eradication solution is a global attractor, this condition depends on pulse vaccination proportion p and interpulse time T. We also obtain the condition of the global asymptotic stability of the solution. The condition shows that large enough pulse vaccination proportion and relatively small interpulse time lead to the eradication of hepatitis B and C. Moreover the results of the theoretical study might be instructive to the epidemiology of HIV.
关键词	epidemic model impulsive vaccination infection age global attractor global asymptotic stability
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:000236255200004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3939
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, HL
作者单位	1.Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China 2.Beijing Inst Informat & Control, Beijing 100037, Peoples R China 3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 4.Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, HL,Xu, HB,Yu, JY,et al. Global asymptotic stability for the SIV epidemic model with impulsive vaccination and infection age[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2006,14(1):43-51.
APA	Liu, HL,Xu, HB,Yu, JY,&Zhu, GT.(2006).Global asymptotic stability for the SIV epidemic model with impulsive vaccination and infection age.JOURNAL OF BIOLOGICAL SYSTEMS,14(1),43-51.
MLA	Liu, HL,et al."Global asymptotic stability for the SIV epidemic model with impulsive vaccination and infection age".JOURNAL OF BIOLOGICAL SYSTEMS 14.1(2006):43-51.