Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy
文献类型:期刊论文
作者 | Liu, Helong1; Yu, Jingyuan2; Zhu, Guangtian3 |
刊名 | JOURNAL OF THEORETICAL BIOLOGY
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出版日期 | 2008-08-21 |
卷号 | 253期号:4页码:749-754 |
关键词 | impulsive differential equations infection age impulsive period drug-treatment proportion infection-free state |
ISSN号 | 0022-5193 |
DOI | 10.1016/j.jtbi.2008.04.021 |
英文摘要 | 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. |
WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
语种 | 英语 |
WOS记录号 | WOS:000258557800010 |
出版者 | ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6798] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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