基于概率母函数的ISR谣言传播模型  

ISR rumor spreading model based on probability generation function

作　　者：胡燕萍 李金仙[1] HU Yanping;LI Jinxian(School of Mathematics Sciences,Shanxi University,Taiyuan,Shanxi 030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《贵州师范大学学报（自然科学版）》2019年第1期78-85,共8页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金(11571210)

摘　　要：为了探究个体抵制率对谣言传播的影响,利用概率生成函数建立了一类引入个体谣言抵制率的谣言传播模型,计算了该模型谣言传播的阈值,并利用数值模拟分析了个体谣言抵制率对谣言传播的影响,得到谣言抵制率的增大会降低谣言传播者的峰值的结论。In order to explore the impact of individual resistance rate on rumor spread,this paper applies probability generating function to build a rumor spreading model which introduces individual rumor resistance rate into the model.The threshold of rumor propagation is calculated,and the influence of individual rumor refusing rate on rumor propagation is analyzed by numerical simulation.The conclusion is that the increase of rumor refusing rate will reduce the peak of rumor spreaders.

关 键 词：谣言传播 ISR模型 异质网络 概率母函数 

分 类 号：O175.1[理学—数学]