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学科主题: 药物依赖
题名:
Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance
作者: Li, Qianqian2; Cao, Shengshan2; Chen, Xiao2; Sun, Guiquan3; Liu, Yunxi4; Jia, Zhongwei1,5
刊名: DISCRETE DYNAMICS IN NATURE AND SOCIETY
发表日期: 2012
DOI: 10.1155/2012/162527
收录类别: SCI
文章类型: Article
WOS标题词: Science & Technology
类目[WOS]: Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
研究领域[WOS]: Mathematics ; Science & Technology - Other Topics
关键词[WOS]: ANTIRETROVIRAL THERAPY ; TRANSMISSION DYNAMICS ; MATHEMATICAL-MODELS ; STAGED-PROGRESSION ; HIV ; AMELIORATION ; INFECTION ; EPIDEMIC
英文摘要:

A mathematical model of HIV/AIDS transmission incorporating treatment and drug resistance was built in this study. We firstly calculated the threshold value of the basic reproductive number (R-0) by the next generation matrix and then analyzed stability of two equilibriums by constructing Lyapunov function. When R-0 < 1, the system was globally asymptotically stable and converged to the disease-free equilibrium. Otherwise, the system had a unique endemic equilibrium which was also globally asymptotically stable. While an antiretroviral drug tried to reduce the infection rate and prolong the patients′ survival, drug resistance was neutralizing the effects of treatment in fact.

语种: 英语
所属项目编号: 2012ZX10001-002 ; KM201010025010 ; 30973981
项目资助者: Chinese government ; Beijing Municipal Commission of Education ; National Nature Science Foundation
WOS记录号: WOS:000312859100001
Citation statistics:
内容类型: 期刊论文
URI标识: http://ir.bjmu.edu.cn/handle/400002259/59192
Appears in Collections:中国药物依赖性研究所_期刊论文

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作者单位: 1.N Univ China, Dept Math, Taiyuan 030051, Peoples R China
2.Peking Univ, Natl Inst Drug Dependence, Beijing 100191, Peoples R China
3.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
4.Chinese Peoples Liberat Army Gen Hosp, Dept Nosocomial Infect Management & Dis Control, Beijing 100853, Peoples R China
5.Harvard Univ, Sch Publ Hlth, Takemi Program Int Hlth, Dept Global Hlth & Populat, Boston, MA 02115 USA

Recommended Citation:
Li, Qianqian,Cao, Shengshan,Chen, Xiao,et al. Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2012.
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