Mathematical model is a scientific or engineering model constructed by using mathematical logic method and mathematical language. The history of mathematical models can be traced back to the time when humans began to use numbers. With the application of numbers, various mathematical models are constantly established to solve various practical problems. A mathematical model can be established to establish an optimal scheme for daily activities such as college students' comprehensive quality evaluation, teachers' work performance evaluation, and visiting friends and purchasing. The establishment of mathematical model is a necessary bridge to communicate the relationship between practical problems and mathematical tools.

Mathematical model refers to a mathematical structure expressed in a general or approximate way with reference to the characteristics or quantitative dependence of a certain thing system. This mathematical structure is a pure relational structure of a system characterized by mathematical symbols. The generalized mathematical model includes various concepts, formulas and theories in mathematics. Because they are all abstracted from the prototype of the real world, in this sense, the whole mathematics can also be said to be a science about mathematical models. In a narrow sense, mathematical model only refers to the mathematical relationship structure that reflects a specific problem or a specific thing system. In this sense, it can also be understood as a mathematical expression, which describes the relationship between variables in the system.