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Demography of sexually transmitted infections with vertical transmission

Author

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  • Ito, Hiromu
  • Yamamoto, Taro
  • Morita, Satoru

Abstract

Sexually transmitted infections (STIs) are an ongoing public health concern. Despite many efforts, STIs have not been eradicated. Most STIs are infected through “horizontal” sexual contact and “vertical” mother-to-child transmission. We therefore need to explore the mathematical relationship between horizontal and vertical transmissions, which is necessary for the strategic eradication of STIs. Here, we constructed a simple model to demonstrate the infection dynamics of STIs with vertical transmission. We proposed a new formulation of the basic reproduction number (R0) for STIs over generations, and showed that vertical transmission exerts a smaller effect on the R0 than horizontal transmission. We also performed agent-based simulations to validate our theoretical predictions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:348:y:2019:i:c:p:363-370
    DOI: 10.1016/j.amc.2018.12.002
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    References listed on IDEAS

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    1. 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.
    2. Alam, Muntasir & Kuga, Kazuki & Tanimoto, Jun, 2019. "Three-strategy and four-strategy model of vaccination game introducing an intermediate protecting measure," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 408-422.
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