Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy

doi:10.1016/j.jtbi.2008.04.021

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	Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy
	Liu, Helong 1; Yu, Jingyuan 2; Zhu, Guangtian 3
	2008-08-21
发表期刊	JOURNAL OF THEORETICAL BIOLOGY
ISSN	0022-5193
卷号	253 期号:4 页码:749-754
摘要	In this paper, we develop an HIV model that considers the dependence of HIV/AIDS progress on infection age (duration since infection), chronological age and impulsive antiretroviral treatment. The analytical results show that there exists a globally asymptotically stable infection-free state when the impulsive period T and drug-treatment proportion p satisfy R-0(p,T) < 1. The numerical simulation results indicate that there exist T and p such that R-0(p, T) < 1. Due to pulses, it would be difficult to obtain the optimal pulse interval in the age distribution of population. However, our results demonstrate the effect of the impulsive drug-treatment strategy on the dynamics of HIV/AIDS. (C) 2008 Elsevier Ltd. All rights reserved.
关键词	impulsive differential equations infection age impulsive period drug-treatment proportion infection-free state
DOI	10.1016/j.jtbi.2008.04.021
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:000258557800010
出版者	ACADEMIC PRESS LTD ELSEVIER SCIENCE 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/6799
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Helong
作者单位	1.Xinyang Normal Univ, Dept Math, Xinyang City 464000, Henan, Peoples R China 2.Beijing Inst Informat & Control, Beijing 100037, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Helong,Yu, Jingyuan,Zhu, Guangtian. Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy[J]. JOURNAL OF THEORETICAL BIOLOGY,2008,253(4):749-754.
APA	Liu, Helong,Yu, Jingyuan,&Zhu, Guangtian.(2008).Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy.JOURNAL OF THEORETICAL BIOLOGY,253(4),749-754.
MLA	Liu, Helong,et al."Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy".JOURNAL OF THEORETICAL BIOLOGY 253.4(2008):749-754.