This paper presents a stability analysis for the dynamic model of a travel route choice adjustment process proposed by Dupuis and Nagurney (1993). In particular, we investigate both local and global stability issues for this adjustment process that may be of concern to transportation planners...

Day-to-day traffic dynamics aim at modeling driver's day-to-day learning and behavior adjustment process and providing insight on how the traffic flow pattern evolves over time. A number of continuous-time path flow dynamics have been proposed and studied in the literature whose stationary path...