Amiri Leila, Torabi Mahmoud, Deardon Rob
Departments of Community Health Sciences & Statistics, University of Manitoba, Winnipeg, Manitoba, Canada.
Department of Mathematics and Statistics & Faculty of Veterinary Medicine, University of Calgary, Calgary, Canada.
Spat Stat. 2023 Jun;55:100729. doi: 10.1016/j.spasta.2023.100729. Epub 2023 Mar 14.
The basic homogeneous SEIR (susceptible-exposed-infected-removed) model is a commonly used compartmental model for analysing infectious diseases such as influenza and COVID-19. However, in the homogeneous SEIR model, it is assumed that the population of study is homogeneous and, one cannot incorporate individual-level information (e.g., location of infected people, distance between susceptible and infected individuals, vaccination status) which may be important in predicting new disease cases. Recently, a geographically-dependent individual-level model (GD-ILM) within an SEIR framework was developed for when both regional and individual-level spatial data are available. In this paper, we propose to use an SEIR GD-ILM for each health region of Manitoba (central Canadian province) population to analyse the COVID-19 data. As different health regions of the population under study may act differently, we assume that each health region has its own corresponding parameters determined by a homogeneous SEIR model (such as contact rate, latent period, infectious period). A Monte Carlo Expectation Conditional Maximization (MCECM) algorithm is used for inference. Using estimated parameters we predict the infection rate at each health region of Manitoba over time to identify highly risk local geographical areas. Performance of the proposed approach is also evaluated through simulation studies.
基本的均匀SEIR(易感-暴露-感染-康复)模型是一种常用的 compartmental 模型,用于分析流感和COVID-19等传染病。然而,在均匀SEIR模型中,假设研究人群是均匀的,并且无法纳入个体层面的信息(例如,感染者的位置、易感者与感染者之间的距离、疫苗接种状况),而这些信息在预测新发病例时可能很重要。最近,在区域和个体层面的空间数据都可用的情况下,开发了一种基于SEIR框架的地理相关个体层面模型(GD-ILM)。在本文中,我们建议对加拿大中部省份曼尼托巴省每个健康区域的人群使用SEIR GD-ILM来分析COVID-19数据。由于所研究人群的不同健康区域可能表现不同,我们假设每个健康区域都有其由均匀SEIR模型确定的相应参数(如接触率、潜伏期、传染期)。使用蒙特卡罗期望条件最大化(MCECM)算法进行推断。利用估计的参数,我们预测曼尼托巴省每个健康区域随时间的感染率,以识别高风险的局部地理区域。还通过模拟研究评估了所提出方法的性能。