Modeling And Analyzing The Evolution Of Urban Road Surface And Motor Vehicle

With the rapid development of economy, urban motor vehicle continues to increase. On the one hand, this stimulates domestic demand and speeds up the process of urbanization and motorization. On the other hand, to limited urban roads, this causes increasingly serious traffic burden as well and then restricts city’s economic development and the further improvement of people’s living standards. How the evolution discipline of urban roads and motor vehicle are revealed and thus making the entire urban traffic system cannot only meet people’s travel needs but also reducing government’s economic investment as much as possible and the waste of land resources has become a hot spot in the field of urban transport research.Research on the relationship between urban motor vehicle and urban roads is the hot spot in the traffic field all the time. Many scholars studied their relationship from different angles and obtained a number of meaningful results. However, it is not difficult to find that most of previous studies on urban roads and motor vehicle are related to present situation and lacking of research from the perspective of co-evolution to study their interrelation.In view of this, based on our predecessors, Logistic equation is applied to establish the co-evolution model of urban road surface and motor vehicle which describes their relation from the evolutionary point of view in detail. Specific academic contributions are provided as follows.From a different perspective, this paper proposes the co-evolution model of urban road surface and motor vehicle without constraints, the co-evolution model of urban road surface and motor vehicle based on carrying capacity and the co-evolution model of urban road surface and motor vehicle based on different traffic structure. Then the stability principle of nonlinear differential equations and chaos theory are used to analyze the stability of these models. Following this, the co-evolution process of urban road and motor vehicle is simulated in MATLAB7.1environment and their feedback relationship of affecting and interacting with each other is analyzed. Eventually, five international metropolises in Beijing, Tokyo, Shanghai, Guangzhou, Tianjin and Nanjing are given to verify the co-evolution model established in this paper. The results show that these co-evolution models established in this paper can simply but better stimulate the co-evolution rule of urban roads and motor vehicle. Research conclusion will provide scientific basis for urban planning renovation.