Stability of Stochastic Dynamic Systems and Application to Supply Chain Finance

In this paper, the mean-square asymptotic stability of a class of stochastic dynamical systems is investigated using the fixed point method, and the conclusions obtained are applied to the study of the stability of the evolutionary game between financial institutions and small and medium-sized enterprises (SMEs) in the supply chain finance credit market. The article expands the field of stochastic dynamical systems application and innovatively adopts the immobile point method to study the stability of stochastic evolutionary game models.