1. Mathematical foundation: First of all, participants need to have a solid mathematical foundation, including algebra, geometry, calculus, probability theory and statistics. This knowledge will help the contestants to understand and solve the problems in the competition.

2. Programming skills: Mathematical modeling competitions usually need to use computer software to solve problems, so contestants need to have certain programming skills. Commonly used programming languages are MATLAB, Python and R.

3. Teamwork ability: Mathematical modeling competitions are usually conducted in teams, so participants need to have good teamwork ability. This includes effective communication, division of labor and the ability to solve team conflicts.

4. Innovative thinking: Mathematical modeling competition requires participants to think independently, innovate and find new solutions. This requires participants to have an open mind and creativity.

5. Time management ability: Mathematical modeling competitions usually have time constraints, and participants need to complete the analysis and solution of problems within a limited time. Therefore, participants need to have good time management skills, be able to arrange their time reasonably and work efficiently.

6. English ability: American mathematical modeling competitions usually use English for communication and writing, so contestants need to have good English ability. This includes reading comprehension, writing and oral expression.

7. Research ability: The mathematical modeling competition requires the contestants to conduct independent research and analysis to find solutions to problems. Therefore, participants need to have good research ability, including literature review, data analysis and model construction.