Demography of sexually transmitted infections with vertical transmission

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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.

Applied Mathematics and Computation, 348, pp.363-370; 2019

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