SIS Model of Rumor Spreading in Social Network with Time Delay and Nonlinear Functions

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2020,（1）
• 页码范围: 9-21
• 页数: 13页
• 语种: 英文

摘要

With the advent of the information age of networks,the study about rumor propagation in social networks has become increasingly significant.In this paper,a rumor propagation model with nonlinear functions and time delay in social networks is proposed.First,according to the next-generation matrix method,we work out the basic reproduction number.Second,we discuss the existence of the rumor-prevailing equilibrium points.Third,we demonstrate the stabilities of equilibrium points and analyze the sufficient conditions for Hopf bifurcation.Finally,the correctness of the theory is verified and several vital conclusions are obtained by numerical simulations.