Diverse reactivity model for traffic flow dynamics in Eulerian scope

نویسندگان

چکیده

In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and vehicle’s inertia. To instigate effect, two functions are introduced, namely driver’s sensitivity function relying on flow field’s instantaneous density follows reverse tendency optimal velocity an inertial equilibrium assuming inertia coefficient. Comparative analysis performed using proposed conventional full difference model. ascertain field neutralization capability model, neutral stability attendant condition derived. The complex behavior near critical point investigated via nonlinear analysis, wavy solution Korteweg–de Vries–Burgers equation obtained. verify analytical solution, numerical simulation performed, with results demonstrating excellent agreement obtained theoretical results.

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ژورنال

عنوان ژورنال: Nonlinear Dynamics

سال: 2023

ISSN: ['1573-269X', '0924-090X']

DOI: https://doi.org/10.1007/s11071-023-08734-x