Economic mathematical models that reflect the complex changes of economic quantitative relations can be classified according to different standards.

(1) According to the relationship of economic quantity, it is generally divided into three types: econometric model, input-output model and optimal planning model. Econometric model reflects the relationship of economic structure and is used to analyze the causes and laws of economic fluctuations. It is a social reproduction model.

2. Input-output model reflects the balanced relationship between departments, regions or products, and is used to study the relationship between production and technology in coordinating economic activities.

3. The reproduction balance model reflects the balance of production and sales and the balance of income and expenditure of various departments, which can not only study the technical relationship, but also study the economic cycle and optimal problems.

4. The optimal planning model reflects the extreme value of conditions in economic activities, and it is a special equilibrium model for selecting the optimal scheme.

(2) According to the size of economic scope, the model can be divided into five types: enterprises, departments, regions, countries and the world.

1, enterprise model is generally called microscopic model, which reflects the economic activities of enterprises and is of great significance to improving enterprise management.

2. Departmental model and regional model are the intermediate links between enterprise model and national model.

3. The national model is generally called the macro model, which comprehensively reflects the relationship between the total indicators in a country's economic activities.

4. The world pattern reflects the mutual influence and function of international economic relations.

(3) According to different mathematical forms, models are generally divided into linear and nonlinear.

1, linear model means that all the equations contained in the model are linear equations.

2. A nonlinear model means that there are more than two higher-order equations in the model.

3. Sometimes a nonlinear model can be solved by transforming it into a linear model, such as transforming an exponential model into a logarithmic model.

(4) According to the time state, there are two modes: static and dynamic:

1, the static model reflects the economic quantity relationship at a certain point in time;

2. The dynamic model reflects the economic development process of a period, and contains time-lag factors.

(5) According to the application purpose, there are theoretical models and application models, and whether to use specific statistical data is the difference between the two models.

(6) According to the purpose of the model, it can also be divided into structural analysis model, forecasting model, policy model and planning model.

In addition, there are stochastic models (items with random errors) and deterministic models (without considering random factors) and so on. These classifications are interrelated and can sometimes be combined to investigate, such as dynamic nonlinear model, stochastic dynamic model and so on.