In this paper, we study the dynamics of a delayed reaction-diffusion rumor model with government control.
The method is illustrated with the widely studied problem of rumor diffusion in social networks.
In this paper, we introduced delay and diffusion into a rumor model.
In this paper, we aim to prevent the rumor diffusion which uses science education and official media coverage as control strategies.
In this paper, we apply a general model, inspired by epidemiology and informed by our knowledge of the sociology of the spread dynamics, to the diffusion of the rumor.
In the field of complex networks, researchers focus both the structure and function of social networks, i.e., networks dynamical processes taking place on networks, such as the transmission of disease over human contact and rumors diffusion through internet [3].
Typical common flat-based routing protocols include directed diffusion [11], SPIN [12], rumor routing [13], and GBR [14].
The mathematical property of the proposed model is discussed, and the results showed that the official message diffusion has positive effects on thwarting rumor spreading.
Rumor propagation is very similar to the diffusion of a virus, thus, most of the existing models of rumor propagation are derived from the models of infectious diseases [3 11].
Most of these works treat diffusions of all information, rumors, ideas, etc. (collectively referred as items in this paper) as following the same model with a single set of parameters.
Many energy efficient routing protocols such as Directed Diffusion [14], Two-Tier Data Dissemination [15], GRAdient [16], Rumor routing [19], and SPIN [20], which aim for high energy efficiency, have been proposed in the last few years for terrestrial wireless networks.
