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Dynamic modeling and analysis of sexually transmitted diseases on heterogeneous networks

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    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. 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.
    3. 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.
    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.

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