Modeling and Control for HIVAIDS Transmission in China Based on Data from 2004 to 2016
Joint Authors
Teng, Zhi-Dong
Li, Zhiming
Miao, Hui
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
HIV is one of the major life-threatening viruses that are spreading in the People’s Republic of China (China for short).
A susceptible-exposed in the latent stage-infectious (SEI) model is established to sketch the evolution of epidemic.
The basic reproduction number is defined.
By constructing Lyapunov function, globally asymptotical stabilities of the disease-free and endemic equilibria are given.
Then, optimal control theory is applied in HIV/AIDS epidemic.
Precaution, screening, and treatment of control variables are introduced and a new model with control is established.
Through the HIV/AIDS data in China, all parameters involved in SEI model are analyzed and parts of them are estimated.
Further, by control model, optimal strategy is obtained.
Results show that the precaution and treatment are the major contributors to preventing and controlling HIV/AIDS epidemic.
American Psychological Association (APA)
Li, Zhiming& Teng, Zhi-Dong& Miao, Hui. 2017. Modeling and Control for HIVAIDS Transmission in China Based on Data from 2004 to 2016. Computational and Mathematical Methods in Medicine،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1142390
Modern Language Association (MLA)
Li, Zhiming…[et al.]. Modeling and Control for HIVAIDS Transmission in China Based on Data from 2004 to 2016. Computational and Mathematical Methods in Medicine No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1142390
American Medical Association (AMA)
Li, Zhiming& Teng, Zhi-Dong& Miao, Hui. Modeling and Control for HIVAIDS Transmission in China Based on Data from 2004 to 2016. Computational and Mathematical Methods in Medicine. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1142390
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142390