Abstract:
The study of disease transmission is of great significance to make more accurate prediction of the epidemic dynamics. Most of the existing disease transmission models are based on single-layer networks and do not consider the coupling effect between multi-layer networks. In this paper, a Susceptible-Exposed-Quarantined-Susceptible (SEQS) model with time delay under the action of multi-layer networks with active nodes is proposed. A time-delayed SEQS model is used to simulate a disease that has an incubation period as well as a recovery period, and can be reinfected after recovery. The static network in the multi-layer network represents the social network of different cities, and the active nodes represent the floating population between cities. Because of the existence of active nodes, the multiple layer network is time-varying, and a detection mechanism is introduced to detect the adjacent nodes within the detection radius with the isolated node as the center. Research show that the final evolution state of the propagation curve of the model has three modes: steady state, periodic oscillation, and non-periodic oscillation, also show that determining the accurate detection range can effectively control the large-scale spread of the disease, when the rate of disease transmission can be effectively reduced.