Dynamical analysis of rumor spreading model with incubation mechanism and activity of nodes

Abstract

In this paper, incubation mechanism and activity of nodes are introduced to study the dynamics mechanism of rumor spreading in complex network. It is assumed that when the susceptible interacts with the rumor believers, the susceptible need time to think about the rumor before they believe it. The susceptible individual will first go through a incubation period after being infected before becoming believer or stifler. The nodes have active and the inactive states, it can convert each other with a certain probability, the active nodes can interact with others which directs linking, and the inactive nodes just response the active neighbors. The dynamic rumor spreading model was built by mean-field equations in heterogeneous network, and then the numerical simulations were proposed which reveals that the joint efforts of activity rate and spreading rate have negative effects on final rumor spreading size, and the simulations results also confirm the theoretical analysis in the modified model.