Two-Layer Network Based Epidemic Model with Network Formal Context
FAN Min1,2, CHEN Rui1,2, LI Jinhai1,2
1. Data Science Research Center, Kunming University of Science and Technology, Kunming 650500; 2. Faculty of Science, Kunming University of Science and Technology, Kunming 650500
Abstract：Two-layer network based epidemic models are one of the hot topics in complex network dynamics. However, existing studies overlook the impact of epidemic awareness and behavior on epidemic transmission. As a result, when there are significant differences in individual prevention behaviors, these models fail to accurately reflect real-world disease spread. To address this issue, a two-layer network based epidemic model is proposed by integrating formal concept analysis with the microscopic Markov chain approach(MMCA) from the perspective of behavioral pattern recognition. First, the two-layer network formal context, network concepts and their characteristic parameters are defined, and a bridge between formal concept analysis and epidemic models is established. This method not only describes the concepts and characteristic parameters corresponding to behavioral patterns in the two-layer network, but also defines a decay factor to further facilitate the integration of information across layers using MMCA. Second, the influence of mass media and policy interventions on information diffusion is taken into account, the mass media function and the MMCA model are improved, and the epidemic outbreak threshold is derived. Finally, simulation experiments are conducted to analyze the impact of several key parameters on epidemic spread scale and threshold.
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