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Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance
Li, Qianqian2; Cao, Shengshan2; Chen, Xiao2; Sun, Guiquan3; Liu, Yunxi4; Jia, Zhongwei1,5
刊名DISCRETE DYNAMICS IN NATURE AND SOCIETY
2012
DOI10.1155/2012/162527
收录类别SCI
文章类型Article
WOS标题词Science & Technology
类目[WOS]Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
资助者Chinese government ; Beijing Municipal Commission of Education ; National Nature Science Foundation ; Chinese government ; Beijing Municipal Commission of Education ; National Nature Science Foundation
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
资助者Chinese government ; Beijing Municipal Commission of Education ; National Nature Science Foundation ; Chinese government ; Beijing Municipal Commission of Education ; National Nature Science Foundation
WOS记录号WOS:000312859100001
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
文献类型期刊论文
条目标识符http://ir.bjmu.edu.cn/handle/400002259/59192
Collection中国药物依赖性研究所
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
GB/T 7714
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.
APA Li, Qianqian,Cao, Shengshan,Chen, Xiao,Sun, Guiquan,Liu, Yunxi,&Jia, Zhongwei.(2012).Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance.DISCRETE DYNAMICS IN NATURE AND SOCIETY.
MLA Li, Qianqian,et al."Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2012).
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