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CAR FOLLOWING MODELS FOR PHENOMENONS ON THE HIGHWAY (2006)
Seidel, Tilman ; Gasser, Ingenuin ; Werner, Bodo
Car following models are used to describe the behavior of a number of cars on the road dependent on the distance to the car in front. We introduce a system of ordinary differential equations and perform a theoretical and numerical analysis in order to find solutions that reflect various traffic situations. We present three different variations of the model motivated by reality.
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