Abstract: On the basis of deterministic financial investment model,a stochastic financial investment model with saturation rate was established by using the dynamic system compartment theory.The existence and uniqueness of positive solutions of the model were discussed by using the theory of stochastic differential equations,and the sufficiency condition for the disappearance of investment fund was obtained by using the It formula and the law of strong numbers.The research results indicate that uncertain factors in the investment environment have a significant impact on the financial market.

Key words: financial investment model, stochastic differential equation, noise intensity, the law of strong numbers