论文标题
耦合动力学理论方法在狭窄的环境中用于行人动力学和疾病传染
Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment
论文作者
论文摘要
这项工作的目的是研究在占据狭窄环境的中等大小种群中传播的传染病。为此，我们考虑了一种动力学理论方法，可以模拟有限域中的人群动力学，并将其与动力学方程式相结合以建模传播。一个人与其他行人和环境的互动是通过使用游戏理论工具来建模的。行人动力学模型允许在两种竞争行为之间进行加权：在恐慌状态下寻找较少的拥挤区域和不知不觉中沿着溪流的趋势。系统中的每个人都有一个受邻里影响的传染水平。对于耦合问题的数值解决方案，我们提出了一种数值算法，该算法在每次步骤解决一个人群动态问题和一个传染性问题，即两者之间没有亚属性。我们在一个问题上测试了耦合模型，涉及一小群人走过走廊。
The goal of this work is to study an infectious disease spreading in a medium size population occupying a confined environment. For this purpose, we consider a kinetic theory approach to model crowd dynamics in bounded domains and couple it to a kinetic equation to model contagion. The interactions of a person with other pedestrians and the environment are modeled by using tools of game theory. The pedestrian dynamics model allows to weight between two competing behaviors: the search for less congested areas and the tendency to follow the stream unconsciously in a panic situation. Each person in the system has a contagion level that is affected by their neighborhood. For the numerical solution of the coupled problem, we propose a numerical algorithm that at every time step solves one crowd dynamics problem and one contagion problem, i.e. with no subiterations between the two. We test our coupled model on a problem involving a small crowd walking through a corridor.
