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- W3083336587 abstract "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 the people in 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." @default.
- W3083336587 created "2020-09-11" @default.
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- W3083336587 date "2020-09-01" @default.
- W3083336587 modified "2023-10-12" @default.
- W3083336587 title "Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment" @default.
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- W3083336587 doi "https://doi.org/10.1142/s0218202520400126" @default.
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