Abstract: This paper is based on the training model of mathematical modeling, combined with the practical problems that undergraduates may encounter in innovation and entrepreneurship, using mathematical modeling ideas to solve, as a teaching case of mathematical modeling competition training and management, forming and constructing mathematical modeling competition Management mode, focusing on cultivating college students' innovative and entrepreneurial practice ability, making useful attempts and exploration for the construction of college students' innovative entrepreneurship education model under the background of new engineering.

Key words: Innovation and entrepreneurship, Mathematical modeling, Ability development