Abstract:

In the active driven network established in this study with link memory, nodes connect to their neighbors from previous time steps(a memory window) with a certain probability(memory connection preference). Delving into the susceptible-infected-recovery(SIR) epidemic dynamics of the model, the epidemic outbreak threshold is derived using the quenched mean-field method, demonstrating that memory reduces the network’s maximum degree but increases the maximum edge weight, a pattern commonly observed in real-world mobile phone network datasets. Furthermore, in epidemic dynamics, with the rise in connection preference and memory window, the outbreak threshold increases, whereas final outbreak size decreases.

Key words: time-varying networks, link memory, epidemic spreading, outbreak threshold