IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v427y2015icp192-201.html
   My bibliography  Save this article

Dynamic modeling and analysis of sexually transmitted diseases on heterogeneous networks

Author

Listed:
  • Li, Shuping
  • Jin, Zhen

Abstract

Considering homosexual contacts and heterosexual contacts in the course of sexual contacts, double degrees which describe the numbers of homosexual contacts and heterosexual contacts are introduced, correlation coefficients about degrees based on the joint probability distribution are given, and an SIS mean-field model about sexually transmitted diseases is presented when degrees are uncorrelated. The basic reproduction number of diseases is studied by the method of next generation matrix. Results show that, when homosexual contacts and heterosexual contacts all exist, once the disease is epidemic in the interior of male (female) population which is caused by male (female) homosexual transmissions, or the disease is epidemic between the two species which is caused by heterosexual transmissions, the disease must be epidemic in the whole population. Numerical simulations confirm the theoretical results.

Suggested Citation

  • Li, Shuping & Jin, Zhen, 2015. "Dynamic modeling and analysis of sexually transmitted diseases on heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 192-201.
    • Handle: RePEc:eee:phsmap:v:427:y:2015:i:c:p:192-201
    DOI: 10.1016/j.physa.2015.01.059
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115000783
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2015.01.059?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Erik M Volz & Joel C Miller & Alison Galvani & Lauren Ancel Meyers, 2011. "Effects of Heterogeneous and Clustered Contact Patterns on Infectious Disease Dynamics," PLOS Computational Biology, Public Library of Science, vol. 7(6), pages 1-13, June.
    2. Emily Oster, 2005. "Sexually Transmitted Infections, Sexual Behavior, and the HIV/AIDS Epidemic," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 467-515.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tingqiang Chen & Lei Wang & Jining Wang & Qi Yang, 2017. "A Network Diffusion Model of Food Safety Scare Behavior considering Information Transparency," Complexity, Hindawi, vol. 2017, pages 1-16, December.
    2. Jun Luo & Jiepeng Wang & Yongle Zhao & Tingqiang Chen, 2018. "Scare Behavior Diffusion Model of Health Food Safety Based on Complex Network," Complexity, Hindawi, vol. 2018, pages 1-14, November.
    3. Ito, Hiromu & Yamamoto, Taro & Morita, Satoru, 2019. "Demography of sexually transmitted infections with vertical transmission," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 363-370.
    4. Luo, Xiao-Feng & Jin, Zhen & He, Daihai & Li, Li, 2021. "The impact of contact patterns of sexual networks on Zika virus spread: A case study in Costa Rica," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    5. Wang, Lei & Li, Shouwei & Chen, Tingqiang, 2019. "Investor behavior, information disclosure strategy and counterparty credit risk contagion," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 37-49.

    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. Yao Yao, 2022. "Fertility and HIV Risk in Africa," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 109-133, July.
    2. de Walque, Damien, 2007. "How does the impact of an HIV/AIDS information campaign vary with educational attainment? Evidence from rural Uganda," Journal of Development Economics, Elsevier, vol. 84(2), pages 686-714, November.
    3. Eva Deuchert, 2011. "The Virgin HIV Puzzle: Can Misreporting Account for the High Proportion of HIV Cases in Self-reported Virgins?," Journal of African Economies, Centre for the Study of African Economies, vol. 20(1), pages 60-89, January.
    4. Cui Zhang & Dandan Zhang, 2023. "Spatial Interactions and the Spread of COVID-19: A Network Perspective," Computational Economics, Springer;Society for Computational Economics, vol. 62(1), pages 383-405, June.
    5. Toxvaerd, Flavio, 2010. "Recurrent Infection and Externalities in Prevention," CEPR Discussion Papers 8112, C.E.P.R. Discussion Papers.
    6. Abu Bakkar Siddique & Kingsley E. Haynes & Rajendra Kulkarni & Meng-Hao Li, 2023. "Regional poverty and infection disease: early exploratory evidence from the COVID-19 pandemic," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 70(1), pages 209-236, February.
    7. Marshall Burke & Erick Gong & Kelly Jones, 2015. "Income Shocks and HIV in Africa," Economic Journal, Royal Economic Society, vol. 125(585), pages 1157-1189, June.
    8. David Canning, 2006. "The Economics of HIV/AIDS in Low-Income Countries: The Case for Prevention," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 121-142, Summer.
    9. repec:hal:wpspec:info:hdl:2441/76npisrda99aop75h6fmi4vduu is not listed on IDEAS
    10. Tafesse, Wiktoria & Chalkley, Martin, 2021. "Faith-based provision of sexual and reproductive healthcare in Malawi," Social Science & Medicine, Elsevier, vol. 282(C).
    11. Cagé, Julia & Rueda, Valeria, 2020. "Sex and the mission: the conflicting effects of early Christian missions on HIV in sub-Saharan Africa," Journal of Demographic Economics, Cambridge University Press, vol. 86(3), pages 213-257, September.
    12. David Aadland & David Finnoff & Kevin X. D. Huang, 2016. "Behavioral Origins of Epidemiological Bifurcations," Vanderbilt University Department of Economics Working Papers 16-00004, Vanderbilt University Department of Economics.
    13. Djemaï, Elodie, 2008. "Is the risk taking of HIV-infection influenced by income uncertainty? : Empirical Evidence from Sub-Saharan Africa," MPRA Paper 11731, University Library of Munich, Germany.
    14. Paul J. Gertler & Manisha Shah, 2011. "Sex Work and Infection: What's Law Enforcement Got to Do with It?," Journal of Law and Economics, University of Chicago Press, vol. 54(4), pages 811-840.
    15. Djemaï, Elodie, 2008. "Risk Taking of HIV-Infection and Income Uncertainty: Empirical Evidence from Sub-Saharan Africa," MPRA Paper 15605, University Library of Munich, Germany, revised 09 Jan 2009.
    16. Abel Brodeur & Warn N Lekfuangfu & Yanos Zylberberg, 2018. "War, Migration and the Origins of the Thai Sex Industry," Journal of the European Economic Association, European Economic Association, vol. 16(5), pages 1540-1576.
    17. Chinhui Juhn & Sebnem Kalemli-Ozcan & Belgi Turan, 2013. "HIV and fertility in Africa: first evidence from population-based surveys," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 835-853, July.
    18. Jonathan Robinson & Ethan Yeh, 2011. "Transactional Sex as a Response to Risk in Western Kenya," American Economic Journal: Applied Economics, American Economic Association, vol. 3(1), pages 35-64, January.
    19. Jérôme Adda, 2016. "Economic Activity and the Spread of Viral Diseases: Evidence from High Frequency Data," The Quarterly Journal of Economics, Oxford University Press, vol. 131(2), pages 891-941.
    20. Han, Zhimin & Wang, Yi & Cao, Jinde, 2023. "Impact of contact heterogeneity on initial growth behavior of an epidemic: Complex network-based approach," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    21. Durevall, Dick & Lindskog, Annika, 2009. "How Does Communal HIV/AIDS Affect Fertility? - Evidence from Malawi," Working Papers in Economics 369, University of Gothenburg, Department of Economics, revised 25 Aug 2009.

    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:eee:phsmap:v:427:y:2015:i:c:p:192-201. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.