中文摘要：

研究了具有怀疑机制的谣言传播模型,提出了更符合社会实际情况的SIQR谣言传播模型.同时给出了对应的平均场方程并对稳定性做了分析,还在社会网络中对SIQR模型中谣言真相传播率对谣言传播过程中各类人的影响进行了数值模拟.结果表明了谣言真相传播率在谣言传播的过程中起到重要的作用.对比没有怀疑机制的谣言传播模型,谣言在具有怀疑机制的谣言传播过程中传播的更慢,谣言真相传播率越大,谣言在社会网络中的最大影响力越小.政府部门可通过各种途径提高谣言真相传播率,降低谣言对公众和社会的影响.

英文摘要：

The rumor spreading model with skepticism mechanism was studied and a SIQR rumor propagation model which is closer to the reality was proposed.The corresponding mean-field equations were given out and their stability was analysed.The influence of rumor truth disseminating rate to all kinds of people on the process of rumor spreading in social networks was simulated.Simulation results show that rumor truth disseminating rate in social networks exerts significant influences on the process of rumor propagation.In comparison with the rumor spreading model without skepticism mechanism,the rumor spreads slower in the process of rumor spreading with skepticism mechanism.The larger the rumor truth disseminating rate,the smaller the maximum influence of rumors in social networks.The above conclusions show that the government departments can improve the rumor truth disseminating rate to reduce the influence of rumor on the pubic and society through various ways.