Analysis Of The Delayed Spreading Process Of Investor Sentiment Based On The Epidemic Model

Traditional finance believes that investors are rational people who can make final decisions through rational analysis in the face of all stock market information.Behavioral finance believes that investors are not absolutely rational people.When making decisions,not only do they rely on their own rational judgments,but also irrational factors such as emotions will also affect their decision-making.Emotional level has gradually become a weather vane for investors' decision-making,so it is necessary to study the process of emotional communication.First of all,this paper introduces dual time delays when considering the effect of impulse interference,thus constructing an impulsive dual-delay emotion propagation model.Then,the existence of the equilibrium point is proved by constructing the pulse stroboscopic mapping of the discrete system,and the stability of the equilibrium point is proved by the principle of differential equation comparison.Then use the Hopf bifurcation principle to analyze the two delay time thresholds of the model.Secondly,this article also combines the actual introduction of a type of untrusted group in the investment process,uses a delay function to represent the average delay of group decision-making,and constructs a SQIR sentiment propagation model with delay changes.And use the geometric method to prove the stability of the equilibrium point.In this paper,the propagation process diagram is numerically simulated by software such as Python and Matlab.The results show that: impulsive interference in the process of transmission helps to speed up the spread of emotions,and increase the intensity of the interference,and the rate of emotion transmission is significantly accelerated.Therefore,shortening the pulse period or reducing the propagation time lag can prompt the emotional propagation process to end as soon as possible.The group average decision delay indirectly affects the propagation process through the propagation rate,and when it is less than 1,the effect of reducing the propagation rate is more significant.The higher the recovery rate of communicators,the smaller the ultimate peak of the communicator group.Therefore,recommendations are given:controlling the average delay within the threshold range,popularizing investment common sense and increasing the recovery rate,can effectively control the spread of irrational emotions in the investment process.The innovation of this paper is that when constructing the delayed propagation model,the propagation time delay of two types of groups is introduced and the effect of impulse interference is considered,and the influence of the two types of group time delays on the propagation process under impulsive interference is explored.In addition,this paper also constructs a delay function to study the influence of the average delay of the group on the spread of emotions,and finally numerically simulates the spreading process diagram,and combines the simulation results to provide feasibility suggestions for investor investment and financial institution macro-control.