Coupled propagation dynamics on complex networks: A brief review

Abstract Coupled propagation dynamics based on complex networks have received widespread attention in recent years. This work reviews the research work related to coupling propagation dynamics on single-layer complex networks, multi-layer complex networks and high-order complex networks. We sort out relevant research results from three aspects: competitive propagation, cooperative propagation and asymmetric coupled propagation, finding that different coupling mechanisms focus on different dynamic properties. The dynamic characteristics such as coexistence threshold in competitive propagation, discontinuous phase transition in cooperative propagation, outbreak threshold and propagation prevalence in asymmetric coupling propagation have been extensively discussed. We conclude by giving some valuable future research topics in coupled propagation dynamics.