郑州大学学报（理学版）2024，Vol.56Issue(2)：51-58,8.DOI:10.13705/j.issn.1671-6841.2022237
考虑怀疑和辟谣机制的SEIMR谣言传播模型
SEIMR Rumor Propagation Model Considering Suspicion and Refutation Mechanisms
摘要
Abstract
Considering that rumor propagation in the complex network might be influenced by suspicion and refutation,a new SEIMR rumor propagation model was constructed by introducing suspicion and refu-tation mechanisms into the SIR rumor propagation model.Based on the theory of differential equations,the propagation dynamics equation of the model on the homogeneous network was proposed.The existence of the rumor-free equilibrium point and rumor-prevailing equilibrium point of the model was analyzed,and the basic regeneration number R0 of the model at the rumor-free equilibrium point was calculated by the next generation matrix method.On this basis,the local asymptotic stability of the model at the rumor-free equilibrium point and the rumor-prevailing equilibrium point was analyzed by the Routh-Hurwitz cri-teria,and the global asymptotic stability of the model at the rumor-free equilibrium point was proved by Lyapunov stability theory.The simulation results showed that the scale,time and duration of rumor out-break were significantly affected by the suspicion and refutation mechanisms.关键词
谣言传播模型/平衡点/怀疑/辟谣/稳定性Key words
rumor propagation model/equilibrium point/suspicion/refutation/stability分类
信息技术与安全科学引用本文复制引用
左飞宇,卢友军,魏嘉银,邓云峰,官永秋..考虑怀疑和辟谣机制的SEIMR谣言传播模型[J].郑州大学学报（理学版）,2024,56(2):51-58,8.基金项目
国家自然科学基金项目(12002098) （12002098）
贵州省省级科技计划项目([2021]ZK,[2019]1159) （[2021]ZK,[2019]1159）
贵州省教育厅基金项目([2018]087) （[2018]087）
贵州民族大学校级基金项目(GZMU[2019]YB03). （GZMU[2019]YB03）
