Demography of sexually transmitted infections with vertical transmission

作者：

Highlights：

• A simple mathematical model is constructed to demonstrate the infection dynamics of sexually transmitted infections (STIs) with horizontal and vertical transmissions.

• We propose a new formulation of the basic reproduction number for STIs over generations.

• We obtain the condition under which the prevention of vertical transmission is critical for the elimination of STIs.

• Our result suggests that the prevention of horizontal transmission is essential for many cases of STIs.

摘要

•A simple mathematical model is constructed to demonstrate the infection dynamics of sexually transmitted infections (STIs) with horizontal and vertical transmissions.•We propose a new formulation of the basic reproduction number for STIs over generations.•We obtain the condition under which the prevention of vertical transmission is critical for the elimination of STIs.•Our result suggests that the prevention of horizontal transmission is essential for many cases of STIs.

论文关键词：Sexually transmitted diseases (STDs),The basic reproduction number (R0),Endemic model,Mother-to-child transmission,Scale-free network

论文评审过程：Available online 13 December 2018, Version of Record 13 December 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.12.002