Abstract
In this paper, the traveling wave solution of the macro continuum model considering the automobile tail lamp effect is obtained by using the phase plane analysis method, the type of equilibrium point of the model is determined, and the stability of the system at the equilibrium point is analyzed. This method can describe and predict the nonlinear traffic phenomena on Expressway from the perspective of system global stability. According to the theory of differential equation, the model is further analyzed to judge the type and stability of equilibrium point. Finally, the simulation diagram is used for numerical simulation. Through numerical verification, it is concluded that the numerical results are consistent with the theoretical analysis.
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