论文标题
一个可以更好地理解解锁的反应扩散系统：将SEIR型模型扩散到Covid-19在法国的空间扩散的应用
A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France
论文作者
论文摘要
开发了一个反应扩散模型，描述了易感，暴露和无症状的个体的平均每日运动，描述了Covid-19病毒的传播。使用有关法国确认感染和死亡的数据及其初始空间分布对该模型进行校准。首先，研究了部分微分方程的系统，然后得出了基本的繁殖编号R0。其次，基于级别集和有限差异的组合的数值模拟显示了Covid-19的空间扩散，从3月16日至6月16日。最后，根据距离的变化或部分空间锁定的方式比较解锁的场景。
A reaction-diffusion model was developed describing the spread of the COVID-19 virus considering the mean daily movement of susceptible, exposed and asymptomatic individuals. The model was calibrated using data on the confirmed infection and death from France as well as their initial spatial distribution. First, the system of partial differential equations is studied, then the basic reproduction number, R0 is derived. Second, numerical simulations, based on a combination of level-set and finite differences, shown the spatial spread of COVID-19 from March 16 to June 16. Finally, scenarios of unlockdown are compared according to variation of distancing, or partially spatial lockdown.
