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| 基于辟谣机制谣言传播的动态建模与仿真 |
| Dynamic Modeling and Simulation of Rumor Propagation Based on Refutation Mechanism |
| 投稿时间：2025-11-26 修订日期：2025-12-29 |
| DOI： |
| 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资助项目(2572018BC20)；黑龙江省自然科学基金资助项目(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，研究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，并基于Routh-Hurwitz判据，证明两个无谣言平衡点及四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理论结果，并探讨了不同参数对谣言传播的影响。结果表明，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, this study investigates an SICMR (susceptible-infective-counter-media-remover) rumour propagation model incorporating an official debunking mechanism. The basic reproduction numberis calculated using the Next Generation Matrix method. Based on the Routh-Hurwitz criterion, the local asymptotic stability of two rumour-free equilibrium points and four rumour-spreading equilibrium points is demonstrated. Numerical simulations validate the theoretical findings and explore the impact of varying parameters on rumour propagation. Results indicate that enhancing susceptible individuals" responsiveness to official media can effectively suppress rumour diffusion. |
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