Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929688158404608 |
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| author | Khatib, Mariam Al Gounane, Said Igbida, Noureddine Jradi, Ghadir |
| author_facet | Khatib, Mariam Al Gounane, Said Igbida, Noureddine Jradi, Ghadir |
| contents | This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must traverse a territory occupied by another (population $2$), necessitating strategies to mitigate overcrowding caused by spatial limitations. To capture these interactions, we model population $1$ using a linear transport equation, while population $2$ is described by a granular diffusion model a la sandpile to represent its internal dynamics and tendency to decongest. Through numerical simulations, we explore how different movement strategies of the traversing population (population $1$) - including directed motion towards a specific destination, internal dispersion to minimize crowding, and uniform dispersal across the space - affects the behavior of population $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16275 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas Khatib, Mariam Al Gounane, Said Igbida, Noureddine Jradi, Ghadir Analysis of PDEs 35K55, 34A12 This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must traverse a territory occupied by another (population $2$), necessitating strategies to mitigate overcrowding caused by spatial limitations. To capture these interactions, we model population $1$ using a linear transport equation, while population $2$ is described by a granular diffusion model a la sandpile to represent its internal dynamics and tendency to decongest. Through numerical simulations, we explore how different movement strategies of the traversing population (population $1$) - including directed motion towards a specific destination, internal dispersion to minimize crowding, and uniform dispersal across the space - affects the behavior of population $2$. |
| title | Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas |
| topic | Analysis of PDEs 35K55, 34A12 |
| url | https://arxiv.org/abs/2501.16275 |