Epidemics spreading in periodic double layer networks with dwell time

摘要

Epidemics spread in human contact networks, which evolve with diurnal and night time periodically and can be regarded as multilayer networks with different dwell time. The topologies of their subnetworks are different from each other, and the stabilities of their dynamic systems are also different. The stabilities of these switched systems, containing stable and unstable subsystems, not only depend on the stability of each subsystem, but also the dwell time of each subsystem. Hence, their stabilities are generally associated with the dwell time, network structure, infection and recovery rate. What is the quantitative relationship among these variables in threshold condition? In this paper, we establish a periodic switched N-intertwined SIS model and obtain its threshold condition in double layer networks, then extend this threshold condition to multilayer networks. This threshold condition is vital to accurately understand the effect of dwell time on spreading result in network. Some simulation results also indicate the accuracy of our threshold condition. (C) 2019 Elsevier B.V. All rights reserved.