Vertical transmission and reproduction rate: modeling a common strategy for two related diseases

摘要

Motivated by (Goyal and Murray in PLoS One 9(10):e110143, ) we consider a partially age-structured model simulating the dynamic of two infectious diseases vertically transmitted almost independently with horizontal coinfection and a common age-structured vaccination strategy. We study influence of parameters on existence and uniqueness of solutions and epidemiological equilibria. Impact of vertical transmission on basic reproduction rate is also presented.