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• W1978365095 abstract "In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stochastic cellular automata model with explicit rules for pedestrians moving in two opposite directions. Coarse-grained mesoscopic and macroscopic analogs are derived leading to the coupled system of PDEs for the density of the pedestrian traffic. The obtained first-order system of conservation laws is only conditionally hyperbolic. We also derive higher-order nonlinear diffusive corrections resulting in a parabolic macroscopic PDE model. Numerical experiments comparing and contrasting the behavior of the microscopic stochastic model and the resulting coarse-grained PDEs for various parameter settings and initial conditions are performed. These numerical experiments demonstrate that the nonlinear diffusion is essential for reproducing the behavior of the stochastic system in the nonhyperbolic regime." @default.
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• W1978365095 date "2013-12-12" @default.
• W1978365095 modified "2023-09-27" @default.
• W1978365095 title "PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS" @default.
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• W1978365095 doi "https://doi.org/10.1142/s0218202513400083" @default.
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