利用非负矩阵最大特征值及非负特征向量的存在性和特征值的取值范围,研究一类华氏宏观经济数学模型的均衡增长路径.证明了无论直接消耗系数矩阵是否是不可约的,一类华氏宏观经济数学模型存在均衡增长解的必然性,并给出了模型的均衡增长解.说明在实际生产中相对于本部门总投入,当本部门的生产消耗掉本部门产品数量较少时,经济系统稳定增长. By using the existence of eigenvalue and nonnegative eigenvector of nonnegative matrices and the range of eigenvalues, the paper studies the equilibrium growth path of a class of macroeconomic maths model. It is proved that whether the direct consumption coefficient matrix is ​​irreducible or not, The inequality of solution to the problem of equilibrium growth in the macroeconomic maths model with Fahrenheit class is given and the equilibrium solution of the model is given.It shows that when the production of this department consumes less amount of products in the department than the total investment of the department in actual production, Economic system is growing steadily.