Turing instability induced by complex networks in a reaction- diffusion information propagation model

The dynamics of rumor spreading in the information environment is a valuable way to study information management and public opinion monitoring. In this paper, the spreading of rumors and the behavior of crowd diffusion on network structure are studied by establishing a Suspicious-Infected (SI) reaction-diffusion model of rumor spreading with Allee effect. Especially, the necessary conditions for Turing pattern to appear in space are studied. Then, Monte Carlo simulation was used to prove the validity of the model. Furthermore, extensive numerical evaluation of the system is carried out under different networks, whose results show that the diffusion coefficient can change the patterns significantly. Then, on the lattice network and the cellular network, the spatial instability will cause the same pattern type, while the density distributions of S and I are no longer consistent on WS networks and BA networks. In addition, the change of the network structure and the introduction of the periodicity of diffusion coefficient will make the instability of the original system disappear in space. These works have certain guiding value to the prediction of rumor spreading scope. (c) 2021 Elsevier Inc. All rights reserved.