English

A model with exposure in the epidemiological sense. Part 1 -- Base model

Populations and Evolution 2026-07-16 v1

Abstract

We explore a model of infectious disease spread that incorporates exposure to the pathogen in the classic epidemiological acceptation of the term, i.e., a contact with an infectious individual has taken place but the infection has not necessarily been acquired. The model also includes a (discrete) age of infection structure, allowing to implicitly describe the viral load of infected individuals and in turn, to describe the probability of developing an infection as a function of the viral load of the infectious contacts.

Keywords

Cite

@article{arxiv.2607.15104,
  title  = {A model with exposure in the epidemiological sense. Part 1 -- Base model},
  author = {CI Hameni Nkwayep and Julien Arino and PM Tchepmo Djomegni},
  journal= {arXiv preprint arXiv:2607.15104},
  year   = {2026}
}