Analysis of an edge-based SEIR epidemic model with sexual and non-sexual transmission routes

Abstract

A new edge-based SEIR epidemic model with sexual and non-sexual transmission routes is studied. The basic reproduction number and the final epidemic size of the disease are obtained. The type reproduction numbers which measure the control effort on a particular route of transmission are also calculated. Further, the resulting equations are tested against simulations and their predictions for different disease scenarios are analyzed. The numerical simulation of the model is compared with the population average of the random simulation, and sensitivity analysis is also performed on several parameters. We conclude that the control effort over a particular route of transmission is affected by other routes. In addition, both the initial infection and the length of the latent period affect the peak arrival time and the peak size of the epidemic.