Modeling epidemic flow with fluid dynamics
Modeling epidemic flow with fluid dynamics
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DOI：
10.3934/mbe.2022388
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发表时间：
2022-01-01
影响因子：
2.6
通讯作者：
Wang, Jin
中科院分区：
文献类型：
--
作者：
Cheng, Ziqiang;Wang, Jin
本文提出了一种新的基于偏微分方程的数学模型来研究传染病的空间传播。该模型结合了流体动力学理论，将流行病传播表示为通过易感宿主和受感染宿主之间的相互作用产生的流体运动。在宏观层面上，感染的传播被建模为由欧拉方程描述的无粘流。从计算流体动力学（CFD）的非平凡的数值方法来研究模型。特别是，五阶加权基本无振荡（韦诺）格式的空间离散。作为应用，这个数学和计算框架被用于中国武汉COVID-19疫情的模拟研究。模拟结果与累积病例的报告数据高度匹配，并对COVID-19的复杂空间动态产生了新的见解。
In this paper, a new mathematical model based on partial differential equations is proposed to study the spatial spread of infectious diseases. The model incorporates fluid dynamics theory and represents the epidemic spread as a fluid motion generated through the interaction between the susceptible and infected hosts. At the macroscopic level, the spread of the infection is modeled as an inviscid flow described by the Euler equation. Nontrivial numerical methods from computational fluid dynamics (CFD) are applied to investigate the model. In particular, a fifth-order weighted essentially non-oscillatory (WENO) scheme is employed for the spatial discretization. As an application, this mathematical and computational framework is used in a simulation study for the COVID-19 outbreak in Wuhan, China. The simulation results match the reported data for the cumulative cases with high accuracy and generate new insight into the complex spatial dynamics of COVID-19.