Computer Science ›› 2026, Vol. 53 ›› Issue (4): 197-207.doi: 10.11896/jsjkx.250300071

• Database & Big Data & Data Science • Previous Articles     Next Articles

Study on Influence Mechanism and Control of Cross-diffusion on Rumor Spreading Pattern

FAN Xiaoling1, DAI Shilong1, XIAO Min1, SUN Yonghui2, XU Fengyu1   

  1. 1 College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
    2 College of Energy & Electrical Engineering, Hohai University, Nanjing 210098, China
  • Received:2025-03-14 Revised:2025-06-13 Online:2026-04-15 Published:2026-04-08
  • About author:FAN Xiaoling,born in 2000,postgra-duate.His main research interests include reaction-diffusion systems and complex networks.
    XIAO Min,born in 1977,Ph.D,professor,Ph.D supervisor.His main research interests include complex networks and nonlinear system.
  • Supported by:
    National Natural Science Foundation of China(62073172) and Natural Science Foundation of Jiangsu Province,China(BK20221329).

Abstract: Turing instability is a key mechanism for generating spatial patterns in rumor spreading systems,where Turing patterns represent a self-organizing phenomenon in rumor propagation.However,most of the current researches on rumor spreading models focus on self-diffusion in one-dimensional space,which fails to accurately capture the complexities of rumor spreading and clarification.This paper proposes a two-dimensional cross-diffusion rumor spreading model and studies its Turing instability.The expansion of dimensions and the introduction of cross-diffusion mechanisms can effectively simulate the interactions between different groups.Through the stability analysis of the model,it explores how self-diffusion and cross-diffusion contribute to the onset of Turing instability,while also examining the suppressive effect of a PD controller on pattern formation.Finally,numerical simulations are conducted to validate the theoretical findings.This paper provides a theoretical basis for rumor control and has important practical guiding significance for maintaining social order and enhancing the reliability of information dissemination.

Key words: Turing instability, Cross-diffusion, PD controller, Rumor spreading

CLC Number: 

  • TP183
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