1. Mathematical basis: Mathematical modeling is a method of abstracting practical problems into mathematical models and then solving them. Therefore, a solid mathematical foundation is essential, including calculus, linear algebra, probability theory and statistics.

2. Programming ability: In mathematical modeling, we usually need to use computer software (such as MATLAB and Python) to solve the model. Therefore, it is very important to master one or more programming languages and skillfully use these softwares.

3. Logical thinking ability: Mathematical modeling requires us to abstract complex practical problems into simple mathematical models, which requires strong logical thinking ability. We need to be able to clearly understand the problem, find out the key points of the problem, and then turn these key points into mathematical models.

4. Data analysis ability: In mathematical modeling, we need to analyze a lot of data to determine the parameters of the model. Therefore, it is very important to master the basic methods of data analysis, such as regression analysis and cluster analysis.

5. Teamwork: Mathematical modeling is usually a team project, which requires the close cooperation of team members. Therefore, good teamwork ability is essential.

6. Innovative thinking ability: When solving practical problems, it may be necessary to creatively apply mathematical theories and methods. Therefore, it is very important to have certain innovative thinking ability and be able to put forward new ideas and methods when solving problems.

7. Time management ability: Mathematical modeling usually needs to be completed in a limited time, so good time management ability is essential. We need to be able to arrange our time reasonably and ensure that all the work is completed within the specified time.