First of all, mathematical modeling can help us describe and understand practical problems more accurately. By abstracting and modeling practical problems, complex practical problems can be simplified into mathematical problems, so as to understand the essence of the problems more deeply.
Secondly, mathematical modeling can help us predict the future. By establishing a mathematical model for practical problems, we can use the model to simulate and predict, so as to have a general understanding of the future situation.
In addition, mathematical modeling can help us find the best solution to the problem. By establishing a mathematical model of the actual problem, the model is used to optimize and solve it, so as to find the optimal solution of the problem.
For example, in economics, mathematical modeling is widely used in market analysis, risk assessment, investment decision and so on. In biology, mathematical modeling is used in disease transmission model, ecosystem model and so on. In engineering, mathematical modeling is used in engineering design and production process optimization.
Generally speaking, mathematical modeling is a powerful tool, which can help us better understand and solve various complex practical problems.