Application of Stability Theory of Differential Equation in Competitive Complementary Model of Education

A model of educational reaction diffusion was established. According to the stability theory of differential equation, the sufficient condition of the equilibrium state of the education system was given. A rich case analysis of the model was made, and the idea of combination of number and shape was used to demonstrate the stability of the model. Finally, we had a conclusion that was consistent with the stability of the educational innovation system.