论文标题
年龄结构化的SIR模型，用于通过间接接触传染病的传播
Age structured SIR model for the spread of infectious diseases through indirect contacts
论文作者
论文摘要
在本文中，我们讨论了一个年龄结构化的SIR模型，其中疾病不仅通过直接人物传播到人的联系人，例如由于表面污染引起的感染，但也可以通过间接接触传播。显然，年龄在包括19009感染在内的SARS病毒感染中也起着至关重要的作用。我们在适当的Banach空间中将我们的模型提出为抽象的半线性库奇问题，以显示解决方案的存在，并显示了稳态的存在。在这项工作中假定人口处于人口统计状态，并表明只要由于环境中间接接触而导致感染传播，就没有无疾病的平衡点。
In this article, we discuss an age-structured SIR model in which disease not only spread through direct person to person contacts for e.g. infection due to surface contamination but it can also spread through indirect contacts. It is evident that age also plays a crucial role in SARS virus infection including COVID-19 infection. We formulate our model as an abstract semilinear Cauchy problem in an appropriate Banach space to show the existence of solution and also show the existence of steady states. It is assumed in this work that the population is in a demographic stationary state and show that there is no disease-free equilibrium point as long as there is a transmission of infection due to the indirect contacts in the environment.
