Stability analysis of an extended intelligent driver model and its simulations under open boundary condition

•We proposed an extended intelligent driver traffic flow model with power cooperation.•Linear stability analyses have been conducted.•The effect of power cooperation is examined theoretically as well as numerically.•We simulated the traffic flow model on a single lane under open boundary condition.

This paper presents an extended intelligent driver traffic flow model, in which the power of the considered vehicle is strengthened in proportion to that of the immediately preceding vehicle. We analyze the stability against a small perturbation by use of the linear stability method for the proposed traffic flow model on a single lane under open boundary condition, with the finding that the traffic flow stability can be improved by increasing the proportion of the direct power cooperation of the preceding vehicle. The participation of forward power cooperation can help to stabilize the traffic flow and suppress the traffic jams. In addition, the simulations under open boundary single lane are conducted to validate the correctness on theoretical deduction, which shows that numerical results in large-wave and short-wave stability are in good agreement with those of theoretical analysis.