Turing instability analysis of a rumor propagation model with time delay on non-network and complex networks (Q6544550)

The paper studies Turing instability analysis of a rumor propagation model with time delay on non-network and complex networks. It establishes rumor propagation models with time delay on both non-network and network settings. Based on the analysis of the linearized system, the necessary conditions for Turing bifurcation are obtained. Turing patterns for different values of the parameter \(\delta\) are predicted through the derivation of the amplitude equation. Here, \(\delta\) represents the probability of infected individuals recovering. Some numerical examples are performed to illustrate the theoretical results.