Through abstraction and simplification, it is a powerful mathematical means to describe and "solve" practical problems with mathematical language and methods. Mathematical modeling is a process of describing actual phenomena with mathematical language.

The actual phenomena here include both concrete natural phenomena, such as free fall, and abstract phenomena, such as customers' value tendency to a certain commodity.

The description here includes not only the description of external form and internal mechanism, but also the prediction, experiment and explanation of actual phenomena.

We can also intuitively understand this concept: mathematical modeling is a process that makes pure mathematicians (mathematicians who only study mathematics and don't care about its application in practice) become physicists, biologists, economists and even psychologists. A mathematical model is generally a mathematical simplification of actual things.