arXiv: 2607.15104
流行病学意义上的暴露模型。第1部分——基础模型
A model with exposure in the epidemiological sense. Part 1 -- Base model
July 16, 2026
作者: CI Hameni Nkwayep, Julien Arino, PM Tchepmo Djomegni
q-bio.PEq-bio.PE
摘要
我们探讨了一个传染病传播模型,该模型在经典流行病学意义上引入了病原体暴露的概念,即与感染者发生接触但未必实际感染。该模型还包含了(离散的)感染年龄结构,从而能够间接描述感染个体的病毒载量,并进一步刻画感染概率随感染接触者病毒载量变化的函数关系。
English
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.