Dynamics Analysis Of Epidemic And Information Spreading In Overlay Networks

The study on disease and information spreading in overlay network has important practical significance.This paper builds the dynamics model of disease and information spreading in overlay network,and analyzes qualitatively and quantitatively the dynamical behavior.Chapter 1 mainly introduces the domestic and international research trends of the influence of information on disease spreading in overlay network,basic ideas and research methods of the paper.Chapter 2 builds dynamics model of disease and information spreading in overlay net-work,and analyzes qualitatively and quantitatively the dynamical behavior.The overlay network consists of two layers,where the top represents the spreading of disease,and the bottom represents the spreading of information.The model is established as follows:First,the basic reproduction number of awareness R0a can be obtained by calculation,and it is proved that the positive equilibrium point of awareness is globally asymptotically stable;Then,the basic reproduction number R0d of disease can be calculated by means of the next generation matrix defined by van den Driessche and J.Watmough.It is proved that the disease-free equilibrium is globally asymptotically stable if R0d<1,the endemic equilibrium is globally asymptotically stable if R0d>1.Finally,The result obtained by numerical simulation is consistent with the result of theoretical analysis.Chapter 3 builds the node dynamics model of disease and information spreading,and analyzes quantitatively the dynamical behavior.The model is established as follows:??(?).The epidemic threshold is obtained by calculation.Numerical simulation shows that the spreading of information prevents the spreading of disease and effectively reduces the final scale of disease transmission.However it has little impact on the threshold of the disease.In addition,spreading of the disease promotes the dissemination of information.