Bifurcation and Control of a Delayed Diffusive Logistic Model in Online Social Networks

摘要：

　　Online social networks have become a popular source for disseminating information and facilitating the building of social relations among a huge number of people.Recently,several partial differential equations were proposed to model the spatio-temporal dynamics of information diffusion in online social networks.As a result,mathematical results of reaction-diffusion equations can be used to help understand the mechanism of information diffusion and,in particular,increase the efficiency of distributing positive information while reducing unwanted information.In this paper,we develop a Partial Differential Equation (PDE) with a delayed feedback controller to effectively control the spread of harmful information.Applying the theory of partial function differential equation,we present verifiable control conditions for stability and Hopf bifurcation of the feedback control system.Examples are given to demonstrate that the delayed feedback controller can reduce the density of influenced users effectively and delay the onset of Hopf bifurcation as well.

关键词： Online social networks stability Hopf bifurcation control

作者: ZHU Linhe ZHAO Hongyong WANG Haiyan

作者单位: Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China School of Mathematical and Natural Sciences,Arizona State University,Phoenix AZ 85069-7100,USA

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2773-2778

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）