We introduce a model of adaptive temporal networks whose evolution is regulated by an interplay between node activity and dynamic exchange of information through links. We study the model by using a master equation approach. Starting from a homogeneous initial configuration, we show that temporal and structural heterogeneities, characteristic of real-world networks, spontaneously emerge. This theoretically tractable model thus contributes to the understanding of the dynamics of human activity and interaction networks.
Figure 1: a) Question: How do social interactions induce structural and temporal heterogeneities among people? b) Illustration of the interaction-regulated stochastic contact model. Within one time step, (i) nodes become activate, (ii) make random connections, (iii) exchange resources, and finally (iv) break down the links.