Nonlocal Crowd Dynamics Models for Several Populations

Nonlocal Crowd Dynamics Models for several Populations

Spatial-Temporal Dynamics in Nonlocal Epidemiological Models

Throughout recorded history, nonindigenous vectors that arrive, establish, and spread in new areas have fomented epidemics of human diseases such as malaria, yellow fever, typhus, plague, and West Nile (Lounibos 2002). The spatial spread of newly introduced diseases is a subject of continuing interest to both theoreticians and empiricists. One strand of theoretical developments (e.g., Kendall 1...

Reconciling Population and Agent Models for Crowd Dynamics

We propose an approach to the quantitative modelling of crowd dynamics, viz. the behaviour of systems of large numbers of mobile agents. The approach relies on a stochastic process algebra as specification language (Bio-PEPA), and combines stochastic simulation techniques and continuous fluid flow approximation. The approach encompasses the agent modelling viewpoint, as system behaviour emerges...

Foot force models of crowd dynamics on a wobbly bridge

Modern pedestrian and suspension bridges are designed using industry standard packages, yet disastrous resonant vibrations are observed, necessitating multimillion dollar repairs. Recent examples include pedestrian-induced vibrations during the opening of the Solférino Bridge in Paris in 1999 and the increased bouncing of the Squibb Park Bridge in Brooklyn in 2014. The most prominent example of...

A hierarchy of heuristic-based models of crowd dynamics

We derive a hierarchy of kinetic and macroscopic models from a noisy variant of the heuristic behavioral Individual-Based Model of [53] where the pedestrians are supposed to have constant speeds. This IBM supposes that the pedestrians seek the best compromise between navigation towards their target and collisions