Analysis of stability for gas-kinetic non-local traffic model

摘要

The gas-kinetic non-local traffic model is improved by taking into account the relative velocity of the correlated vehicles. The stability of different relaxation time modes is analytically investigated with the perturbation method. The analysis and numerical simulations validate that the density-velocity dependent relaxation time model is more stable than the other gas-kinetic traffic models in the high density traffic jams.