Music Payment Model In View Of Stochastic Dynamical System

In recent years,a lot of music has gradually changed from free listening to paid listening,which shows that paid music has become an inevitable trend.When the songs in music software change from free to charge,the number of users will gradually decrease,so we also need to carry out the necessary publicity.In this paper,we use the theory of random measure and martingale to establish the dynamic system of music payment model,discuss the number of users,explores the influence of information transmission intensity,probability of successful publicity,probability of leaving due to payment and psychological factors on the number of users,and obtains the limit equation of orbit when the number of users is large.Finally,Matlab is used to simulate the performance of the equation under different parameters,which shows the influence of each parameter on the number of users more intuitively.It is found that the function of parameters in the model is consistent with that of intuitionism,which has a certain guiding role for practice.