带有反对机制的谣言传播模型

Rumor-spreading model with a rejection mechanism

一个从未听过谣言的人,听到谣言之后,或者继续传播这个谣言,或者不理睬保持沉默,同时也有可能反对这个谣言,基于此构建了带有反对者的谣言传播模型——SICR谣言传播模型.并且在SICR谣言传播模型的基础上,运用了概率生成函数的方法,来解决谣言传播过程中任意时刻的传播规模等问题.

Rumor is a major way of transmitting information in social life. When a person who has never heard of a rumor has now heard of one, he/she may continue to spread the rumor or ignore it in silence or acts as an opponent. In view of this case, this paper has built a rumor-spreading model with a rejection mechanism:SICR rumor-spreading model. Based on this model, the paper uses the probability generating function to solve such problems as the rumor-spreading impacts.