计算机科学 ›› 2026, Vol. 53 ›› Issue (4): 197-207.doi: 10.11896/jsjkx.250300071
范笑凌1, 戴仕龙1, 肖敏1, 孙永辉2, 徐丰羽1
FAN Xiaoling1, DAI Shilong1, XIAO Min1, SUN Yonghui2, XU Fengyu1
摘要： Turing不稳定性是谣言传播系统生成空间模式的关键机制,Turing斑图是谣言传播中存在的自组织现象。然而,目前对谣言传播模型的研究大多集中在一维空间上的自扩散,不能准确地描述谣言的传播与澄清过程。对此,提出了一个具有二维交叉扩散的谣言传播模型,并对其Turing不稳定特性进行研究。维度的扩展和交叉扩散机制的引入可以更好地模拟不同群体之间的相互作用。通过对模型的稳定性分析,探讨了自扩散和交叉扩散对系统Turing不稳定的促进作用,研究了PD控制器对系统Turing不稳定的抑制作用。最后,通过数值模拟验证了理论分析的结论。该研究为谣言管控提供了理论依据,对于维护社会秩序和提高信息传播的可靠性具有重要的现实指导意义。
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