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SUMMARY:Congested Crossing Pedestrian Traffic Flow: Dispersion vs. Transpo
 rt in Crowded Areas
DTSTART:20260619T090000Z
DTEND:20260619T093000Z
DTSTAMP:20260626T214900Z
UID:indico-event-16778@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mariam Al Khatib\n\nThis study investigates the comp
 lex dynamic interactions between two types of populations coexisting withi
 n a shared space. We propose both theoretical and numerical approaches to 
 analyze scenarios where one population (population 1) must traverse a terr
 itory occupied by another (population 2)\, requiring strategies to mitigat
 e overcrowding due to spatial limitations. To capture these interactions\,
  population 1 is modeled using a linear transport equation\, while populat
 ion 2 is described by a granular diffusion model à la sandpile to represe
 nt its internal dynamics and tendency to decongest. Through numerical simu
 lations\, we explore how different movement strategies of the traversing p
 opulation—such as directed motion toward a specific destination\, intern
 al dispersion to minimize crowding\, and uniform dispersal across the spac
 e—affect the behavior of population 2.\n\nhttps://indico.math.cnrs.fr/ev
 ent/16778/
LOCATION:XR203 (XLIM)
URL:https://indico.math.cnrs.fr/event/16778/
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