Objective: Mathematical model is a kind of simulation, which is an abstract and concise description of the essential attributes of practical topics with mathematical symbols, mathematical formulas, programs and charts. It may explain some objective phenomena, or predict the future development law, or provide an optimal strategy or a better strategy in a sense to control the development of a phenomenon. Mathematical models are generally not direct copies of real problems. Its establishment often requires people's in-depth observation and analysis of practical problems, and also requires people to use all kinds of mathematical knowledge flexibly and skillfully. The process of abstracting mathematical models from practical problems is called mathematical modeling.

Methods: The model was prepared.

Understand the actual background of the problem, clarify its practical significance, and master all kinds of information of the object. The essence of the problem is contained in mathematical thinking, which runs through the whole process of the problem, and then the problem is described in mathematical language. Requirements in line with mathematical theory, in line with mathematical habits, clear and accurate.

Model hypothesis

According to the characteristics of the actual object and the purpose of modeling, the problem is simplified with accurate language and some appropriate assumptions are put forward.

Model structure

On the basis of hypothesis, use appropriate mathematical tools to describe the mathematical relationship between variables and constants, and establish the corresponding mathematical structure (try to use simple mathematical tools).

Using the obtained data, all parameters of the model are calculated (or approximately calculated).

model analysis

The results are analyzed mathematically.

model testing

The model analysis results are compared with the actual situation to verify the accuracy, rationality and applicability of the model. If the model is in good agreement with the actual situation, the practical significance of the calculation results should be given and explained. If the model is inconsistent with the actual situation, the hypothesis should be modified and the modeling process should be repeated again.

Model application

The application pattern varies with the nature of the problem and the purpose of modeling.