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Predicting Pandemics in a Globally Connected World, Volume 1A 2D Kinetic Model for Crowd Dynamics with Disease Contagion

Predicting Pandemics in a Globally Connected World, Volume 1: A 2D Kinetic Model for Crowd... [We focus on the modeling and simulation of an infectious disease spreading in a medium size population occupying a confined environment, such as an airport terminal, for short periods of time. Because of the size of the crowd and venue, we opt for a kinetic type model. The chapter is divided into two parts. In the first part, we adopt the simplifying assumption that people’s walking speed and direction are given. The resulting kinetic model features a variable that denotes the level of exposure to people spreading the disease, a parameter describing the contagion interaction strength, and a kernel function that is a decreasing function of the distance between a person and a spreading individual. Such model is tested on problems involving a small crowd in a square walkable domain. In the second part, ideas from the simplified model are used to incorporate disease spreading in a kinetic theory approach for crowd dynamics, i.e., the walking speed and direction result from interaction with other people and the venue.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Predicting Pandemics in a Globally Connected World, Volume 1A 2D Kinetic Model for Crowd Dynamics with Disease Contagion

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References (32)

Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
ISBN
978-3-030-96561-7
Pages
265 –284
DOI
10.1007/978-3-030-96562-4_9
Publisher site
See Chapter on Publisher Site

Abstract

[We focus on the modeling and simulation of an infectious disease spreading in a medium size population occupying a confined environment, such as an airport terminal, for short periods of time. Because of the size of the crowd and venue, we opt for a kinetic type model. The chapter is divided into two parts. In the first part, we adopt the simplifying assumption that people’s walking speed and direction are given. The resulting kinetic model features a variable that denotes the level of exposure to people spreading the disease, a parameter describing the contagion interaction strength, and a kernel function that is a decreasing function of the distance between a person and a spreading individual. Such model is tested on problems involving a small crowd in a square walkable domain. In the second part, ideas from the simplified model are used to incorporate disease spreading in a kinetic theory approach for crowd dynamics, i.e., the walking speed and direction result from interaction with other people and the venue.]

Published: Feb 18, 2022

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