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].
In this paper, we study the dynamics of a delayed reaction-diffusion rumor model with government control.
In this paper, we introduced delay and diffusion into a rumor model.
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.
Typical common flat-based routing protocols include directed diffusion [11], SPIN [12], rumor routing [13], and GBR [14].
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].
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.
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.
According to Huo et al. [11], factors such as media coverage and governmental information transparency during propagation and diffusion are taken into account to extend the D-K rumor propagation model; moreover, they also utilize the optimal control theory to discuss an optimal control strategy for rumor propagation.
