Considering the influence of heterogeneous travel on traffic flow distribution, the travelers'route choice behaviors are classified into three types: price regulation, quantity regulation and price-quantity regulation. Three day-to-day dynamical stochastic assignment models based on the disequilibrium theory are established, and the existence, uniqueness, and stability of the solutions to these models are proved. Through model simulation, it proved that each path flow in these three models can converge to a steady state after a f'mite travel...