Differential equation model of financial market stability based on big data

The financial system is a complex, nonlinear chaotic dynamic system caused by its operating mechanism. Therefore, the application of previous forecasting models cannot explain the existence of various interference factors in the financial market and the chaotic characteristics of the financial system. With the help of financial market stability, the article establishes a series of differential equation models that reflect changes in interest rates in the financial system. The article introduces the factor of macro-control on the premise of respecting market regulation to regulate and intervene in economic relations and economic operation status. We apply the Logistic model and stability theory to analyse the positive equilibrium point characteristics of the system and obtain the interest rate liquidity equation with a time-lag financial network.