IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n414383.html

Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection

Author

Listed:
  • Can Chen
  • Yanni Xiao

Abstract

A mathematical model is proposed to consider the effects of saturated diagnosis and vaccination on HIV/AIDS infection. By employing center manifold theory, we prove that there exists a backward bifurcation which suggests that the disease cannot be eradicated even if the basic reproduction number is less than unity. Global stability of the disease‐free equilibrium is investigated for appropriate conditions. When the basic reproduction number is greater than unity, the system is uniformly persistent. The proposed model is applied to describe HIV infection among injecting drug users (IDUs) in Yunnan province, China. Numerical studies indicate that new cases and prevalence are sensitive to transmission rate, vaccination rate, and vaccine efficacy. The findings suggest that increasing vaccination rate and vaccine efficacy and enhancing interventions like reducing share injectors can greatly reduce the transmission of HIV among IDUs in Yunnan province, China.

Suggested Citation

  • Can Chen & Yanni Xiao, 2014. "Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:414383
    DOI: 10.1155/2014/414383
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/414383
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/414383?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Lin Lu & Manhong Jia & Yanling Ma & Li Yang & Zhiwei Chen & David D. Ho & Yan Jiang & Linqi Zhang, 2008. "The changing face of HIV in China," Nature, Nature, vol. 455(7213), pages 609-611, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jun-Qing Wu & Ke-Wei Wang & Rui Zhao & Yu-Yan Li & Ying Zhou & Yi-Ran Li & Hong-Lei Ji & Ming Ji, 2014. "Male Rural-to-Urban Migrants and Risky Sexual Behavior: A Cross-Sectional Study in Shanghai, China," IJERPH, MDPI, vol. 11(3), pages 1-19, March.
    2. Tan, Judy Y. & Huedo-Medina, Tania B. & Warren, Michelle R. & Carey, Michael P. & Johnson, Blair T., 2012. "A meta-analysis of the efficacy of HIV/AIDS prevention interventions in Asia, 1995–2009," Social Science & Medicine, Elsevier, vol. 75(4), pages 676-687.
    3. M. Merli & James Moody & Joshua Mendelsohn & Robin Gauthier, 2015. "Sexual Mixing in Shanghai: Are Heterosexual Contact Patterns Compatible With an HIV/AIDS Epidemic?," Demography, Springer;Population Association of America (PAA), vol. 52(3), pages 919-942, June.
    4. Tucker, Joseph & Ren, Xin & Sapio, Flora, 2010. "Incarcerated sex workers and HIV prevention in China: Social suffering and social justice countermeasures," Social Science & Medicine, Elsevier, vol. 70(1), pages 121-129, January.
    5. M. Giovanna Merli & Sara Hertog, 2010. "Masculine sex ratios, population age structure and the potential spread of HIV in China," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 22(3), pages 63-94.
    6. Hao, Yicheng & Luo, Yantao & Huang, Jianhua & Zhang, Long & Teng, Zhidong, 2025. "Analysis of a stochastic HIV/AIDS model with commercial heterosexual activity and Ornstein–Uhlenbeck process," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 234(C), pages 50-72.
    7. repec:plo:pone00:0171295 is not listed on IDEAS
    8. Xianlei Dong & Mengge Sun & Jingguo Wang & Zhihan Yang & Beibei Hu, 2019. "Understanding the Hierarchical Relationships in Female Sex Workers’ Social Networks Based on Knowledge, Attitude, and Practice," IJERPH, MDPI, vol. 16(20), pages 1-22, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:414383. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.