Impact of community networks with higher-order interaction on epidemic dynamics

Complex networks can be used to describe the propagation of epidemics among groups in which multiple individuals interact. However, pairwise interactions are often insufficient to describe the social propagation process. And studies have shown that there is a close relationship between network topology and epidemic dynamics. Therefore, we focuses on the effect of community networks with higher-order interactions on epidemic dynamics. The influence of the community network with high-order interaction on epidemic dynamics is studied by adjusting the structural parameters of the community network. The simulation results show that when the average degree and the community connection strength are constant, the number of communities will only affect the propagation speed without affecting the propagation scale and the propagation threshold. The increase of the average degree will accelerate the propagation speed, increase the propagation scale and reduce the propagation threshold. The increase of the community connection strength will accelerate the initial propagation speed, reduce the propagation threshold and have little effect on the propagation scale. The addition of higher-order interactions will reflect new phenomena, such as discontinuous transition and bistable regions. and the introduction of higher-order innteractions will increase the scale and speed of propagation.