Rumor Spreading Model Based On Probability Generation Function In Heterogeneous Networks

In recent years,the research on the dynamics of various spreading phenomena in complex networks has been one of the hot points in the field of complex systems.This paper considers the actual situation and human psychology,media and other factors.Combining the method of probability generating function and approximate approximation,the dissemination of the rumor is further studied in heterogeneous networks.This paper is divided into four chapters.Chapter 1 is an introduction to the basic knowledge involved in the study,the basic topological properties of complex networks and the development process of the dynamic model of rumor propagation in networks.Chapter 4 is a summary of the research work during the postgraduate period.It briefly introduces innovations,conclusions and future research works.The second and third chapters are my major innovative work during my postgraduate period.The main contents are listed as follows:In Chapter 2,we explore the impact of individual resistance rate on rumor spread in heterogeneous networks,and using the means of generating function builds the dynamic model of rumor propagation,i.e.,(?)Meanwhile,the threshold of rumor propagation is calculated.Finally,the influence of individual refusing rate and other parameters on rumor propagation is analyzed by numerical simulation.In Chapter 3,we studied the SIHR rumor spreading model in heterogeneous networks.And we derived the nonlinear ODE's model to describe the dynamics of the rumor spreading by using the probability generating function method and approximation method.We obtains the threshold condition which is different from the previous results.And under different initial conditions,we analyze the threshold and the speed of the rumor spreading.Finally,numerical simulations of the nonlinear ODE's model are compared to stochastic simulations,which shows good agreement with the theory and means the model is more reliable.Finally,through numerical simulations,we further investigated the effects of parameters on the spread of the rumor.