Gravitation model for spatial network based on the heterogeneous node

Abstract

In this paper we consider nodes in network are heterogeneous and the link between nodes is caused by the potential dynamical demand of the nodes. Such demand can be measured by gravitation which increases with the heterogeneous strength of node and decreases with the geographical distance. Based on this, we propose a new model for spatial network from the view of gravitation. The model is to maximize the potential dynamical demand of the whole network, indicating the possible maximal efficiency of the network and the highest profits that operators may gain. The model can vary its topology by changing two parameters. A simulation for the Chinese city airline network is completed. In the end of this article we discuss the significance and advantage of the heterogeneous nodes.