Industrially Focused Mathematical Modelling (InFoMM) EPSRC Centre for Doctoral Training, Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK.
Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, UK.
J R Soc Interface. 2021 Jan;18(174):20200617. doi: 10.1098/rsif.2020.0617. Epub 2021 Jan 27.
The benefits of different levels of engagement with test, trace and isolate procedures are investigated for a pandemic in which there is little population immunity, in terms of productivity and public health. Simple mathematical modelling is used in the context of a single, relatively closed workplace such as a factory or back-office where, in normal operation, each worker has lengthy interactions with a fixed set of colleagues. A discrete-time SEIR model on a fixed interaction graph is simulated with parameters that are motivated by the recent COVID-19 pandemic in the UK during a post-peak phase, including a small risk of viral infection from outside the working environment. Two kinds of worker are assumed, who regularly test, share their results with colleagues and isolate as soon as a contact tests positive for the disease, and who do none of these. Moreover, the simulations are constructed as a 'playable model' in which the transparency level, disease parameters and mean interaction degree can be varied by the user. The model is also analysed in the continuum limit. All simulations point to the double benefit of transparency in both maximizing productivity and minimizing overall infection rates. Based on these findings, public policy implications are discussed for how to incentivise this mutually beneficial behaviour in different kinds of workplace, and simple recommendations are made.
不同程度参与测试、追踪和隔离程序的效益在人群免疫力较低的大流行期间,从生产力和公共卫生的角度进行了调查。在单一、相对封闭的工作场所(如工厂或后台办公室)中,使用简单的数学模型进行建模,在正常运行时,每个工人都与一组固定的同事进行长时间的互动。使用最近英国 COVID-19 大流行期间在高峰期过后的参数对固定交互图上的离散时间 SEIR 模型进行模拟,包括来自工作环境之外的病毒感染的小风险。假设两种工人,一种是定期测试、与同事分享结果并在接触者检测出疾病呈阳性时立即隔离的工人,另一种是不进行这些操作的工人。此外,模拟被构建为一个“可玩模型”,用户可以改变透明度水平、疾病参数和平均互动程度。该模型还在连续体极限中进行了分析。所有模拟都表明透明度在最大化生产力和最小化总体感染率方面的双重好处。基于这些发现,讨论了如何在不同类型的工作场所激励这种互利行为的公共政策含义,并提出了一些简单的建议。