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Stability analysis of an HIV/AIDS epidemic model with treatment

文献类型：期刊论文

作者Cai, Liming1,2; Li, Xuezhi1; Ghosh, Mini3; Guo, Baozhu4
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2009-07-01
卷号229期号:1页码:313-323
关键词HIV/AIDS Basic reproduction number Global stability Time delay Hopf bifurcation
ISSN号0377-0427
DOI10.1016/j.cam.2008.10.067
英文摘要An HIV/AIDS epidemic model with treatment is investigated. The model allows for some infected individuals to move from the symptomatic phase to the asymptomatic phase by all sorts of treatment methods. We first establish the ODE treatment model with two infective stages. Mathematical analyses establish that the global dynamics of the spread of the HIV infectious disease are completely determined by the basic reproduction number R(0). If R(0) <= 1, the disease-free equilibrium is globally stable, whereas the unique infected equilibrium is globally asymptotically stable if R(0) > 1. Then, we introduce a discrete time delay to the model to describe the time from the start of treatment in the symptomatic stage until treatment effects become visible. The effect of the time delay on the stability of the endemically infected equilibrium is investigated. Moreover, the delay model exhibits Hopf bifurcations by using the delay as a bifurcation parameter. Finally, numerical simulations are presented to illustrate the results. (C) 2008 Elsevier B.V. All rights reserved,
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000266511500032
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7583]  
专题中国科学院数学与系统科学研究院
通讯作者Cai, Liming
作者单位1.Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China
2.Beijing Inst Informat Control, Beijing 100037, Peoples R China
3.Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
4.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Cai, Liming,Li, Xuezhi,Ghosh, Mini,et al. Stability analysis of an HIV/AIDS epidemic model with treatment[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,229(1):313-323.
APA Cai, Liming,Li, Xuezhi,Ghosh, Mini,&Guo, Baozhu.(2009).Stability analysis of an HIV/AIDS epidemic model with treatment.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,229(1),313-323.
MLA Cai, Liming,et al."Stability analysis of an HIV/AIDS epidemic model with treatment".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 229.1(2009):313-323.

入库方式： OAI收割

来源：数学与系统科学研究院

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