The nonlinear traffic flow model,which is based on the Lorentz system,is discussed by using the homotopy analysis method (HAM).By choosing deferent initial approximation solutions and deferent linear operators,we obtain the approximation solution of the nonlinear model.By comparing the present results with the previous related studies,we conclude that the HAM is superior to the differ-ential transform method.The correctness of the theoretical analysis is confirmed by numerical simula-tion.%应用同伦分析法(H AM)研究在劳伦兹系统基础上构建的非线性交通模型。通过选取适当的初始解和线性算子，得到方程的近似解。与已有结果的比较发现，在研究这类非线性问题时，同伦分析法优于微分变换法，并通过数值模拟验证了结果的正确性。
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