道路交通系统演化的非线性动力模型

This study investigates the effect of various planning, management policies and advanced technologies on road traffic system. A three-dimensional nonlinear dynamic model is constructed to depict the dynamic evolutions of energy storage consumption, vehicle ownership and roadway area. The study analyzes the existence, uniqueness and stability of the equilibrium solution of the dynamic model, and verifies the correctness of the theoretical results through numerical experiments. The results indicate that: the equilibrium solution which has practical significance is unique and stable if all variables and parameters are strictly positive; the equilibrium average vehicle traveling speed increases when meet one of the following conditions : growth rate of energy available for vehicles decreases, the town development boundary, supply quantity of shared parking lots, or the average energy consumption of vehicles increases; when a certain condition is satisfied, the equilibrium average vehicle speed increases with the conversion coefficient between network area and road network capacity; there exists an optimal intensity of traffic volume, which could make the equilibrium road network reach its minimum saturation.