SICR Rumor Spreading Model In Complex Networks

The spread of rumors and diseases are closely related to people’s lives.Since ancient times,rumor is an important form of social interaction.For harmful rumors,people hope to find appropriate coping strategies to minimize the harm of rumors.Therefore,the characteristics of the process of rumor dissemination become a very important research topic.In this paper,we assume that when the person firstly gets the rumors,he has three choices:spreading it,ignoring it or opposing it.In view of this,we establish an SICR(SusceptibleInfective-Counterattack-Refractory)rumor spreading model with counter.In chapter one,we introduce the research progress of rumor spreading and the main works.Chapter two,chapter three and chapter four are the main contents of this article,and detailed description is as follows:In chapter two,we introduce the mechanism of SICR rumor spreading model,some notations and basic theories.In chapter three,using the probability generating function method and the approximation theory,we establish an SICR rumor model in homogeneous networks.Next,we get the initial conditions of the model.We also calculate the threshold conditions for the outbreak of the rumor.Finally,we show the trajectories of infected and the effects of the parameter of persuading rate on the spreading.In chapter four,we improve the model in chapter three.We establish an SICR rumor model in heterogeneous networks.Then we get the initial conditions and the threshold of the model.And we compare the speed of the rumors spreading with different initial conditions.The comparison between the results of stochastic and numerical simulations in Possion random network is made to confirm the validity of the system of equations.And the effects of the parameters in the model on the transmission are studied numerically.Finally,we show the differences in recovery mechanism between rumor transmission and disease transmission and compare them by numerical simulations.