Stability Analysis of an HIVAIDS Dynamics Model with Drug Resistance
Joint Authors
Cao, Shengshan
Sun, Guiquan
Jia, Zhongwei
Li, Qianqian
Liu, Yunxi
Chen, Xiao
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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 (R0) by the next generation matrix and then analyzed stability of two equilibriums by constructing Lyapunov function.
When R0<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.
American Psychological Association (APA)
Li, Qianqian& Cao, Shengshan& Chen, Xiao& Sun, Guiquan& Liu, Yunxi& Jia, Zhongwei. 2012. Stability Analysis of an HIVAIDS Dynamics Model with Drug Resistance. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-450832
Modern Language Association (MLA)
Li, Qianqian…[et al.]. Stability Analysis of an HIVAIDS Dynamics Model with Drug Resistance. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-450832
American Medical Association (AMA)
Li, Qianqian& Cao, Shengshan& Chen, Xiao& Sun, Guiquan& Liu, Yunxi& Jia, Zhongwei. Stability Analysis of an HIVAIDS Dynamics Model with Drug Resistance. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-450832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450832