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Modelling Interactions Between Active and Passive Agents Moving Through Heterogeneous Environments

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Crowd Dynamics, Volume 1

Abstract

We study the dynamics of interacting agents from two distinct intermixed populations: one population includes active agents that follow a predetermined velocity field, while the second population contains exclusively passive agents, i.e., agents that have no preferred direction of motion. The orientation of their local velocity is affected by repulsive interactions with the neighboring agents and environment. We present two models that allow for a qualitative analysis of these mixed systems. We show that the residence times of this type of systems containing mixed populations is strongly affected by the interplay between these two populations. After showing our modelling and simulation results, we conclude with a couple of mathematical aspects concerning the well-posedness of our models.

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Notes

  1. 1.

    Here, we assume that the discomfort is perceptible, known.

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Author information

Authors and Affiliations

  1. Università degli Studi dell’Aquila, LAquila, Italy

    Matteo Colangeli

  2. Karlstad University, Karlstad, Sweden

    Adrian Muntean & Omar Richardson

  3. Gran Sasso Science Institute, LAquila, Italy

    Thi Kim Thoa Thieu

Authors
  1. Matteo Colangeli
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  2. Adrian Muntean
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  3. Omar Richardson
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  4. Thi Kim Thoa Thieu
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Corresponding author

Correspondence to Omar Richardson .

Editor information

Editors and Affiliations

  1. School of Engineering, University of Edinburgh, Edinburgh, UK

    Livio Gibelli

  2. Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    Nicola Bellomo

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Colangeli, M., Muntean, A., Richardson, O., Thieu, T.K.T. (2018). Modelling Interactions Between Active and Passive Agents Moving Through Heterogeneous Environments. In: Gibelli, L., Bellomo, N. (eds) Crowd Dynamics, Volume 1. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-05129-7_8

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