| 韩佳言, 曹连英.基于辟谣机制的谣言传播模型的构建与仿真[J].海南师范大学学报自科版,2026,(2):127-133 |
| 基于辟谣机制的谣言传播模型的构建与仿真 |
| Construction and Simulation of Rumor Propagation Model Based on Debunking Mechanism |
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| DOI：10.12051/j.issn.1674-4942.2024.04.001 |
| 中文关键词: 基本再生数 局部渐近稳定性 Routh-Hurwitz判据 |
| 英文关键词: basic reproduction number local asymptotic stability Routh-Hurwitz criterion |
| 基金项目:中央高校基本科研业务费专项资金项目（2572018BC20）；黑龙江省自然科学基金项目（C201408） |
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| 中文摘要: |
基于不同个体对官方媒体辟谣反响的差异，构建了一种含官方辟谣机制的SICMR（易感者、传播者、个人辟谣者、官方辟谣者和免疫者）谣言传播模型。采用下一代矩阵法求得基本再生数R0![]() ![]() ，并基于Routh-Hurwitz判据证明2个无谣言平衡点及4个谣言传播平衡点的局部渐近稳定性。通过数值模拟验证了模型的稳定性，并探讨了不同参数对谣言传播的影响。其中，提升易感者对官方媒体的反响程度能够有效抑制谣言的扩散。 |
| 英文摘要: |
Based on variations in individual responses to official media debunking efforts, this paper develops an SICMR (susceptible-infective-counter-media-remover) rumor propagation model incorporating an official debunking mechanism. The basic reproduction number R0![]() ![]() is calculated using the next generation matrix method. Based on the Routh-Hurwitz criterion, the local asymptotic stability of two rumor-free equilibrium points and four rumor-spreading equilibrium points is proven. Numerical simulations validate the model's stability and explore the impact of different parameters on rumor propagation. Increasing the susceptibility group's responsiveness to official media effectively suppresses rumor diffusion. |
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