Stability Analysis of CASRC Rumor Spreading Model with Re-acceptance Rate
LIU Min
HU Xinli
Abstract：Aiming at the phenomenon that individuals who identify rumors or were not interested in rumors became rational in the early stage of rumor spreading,but for some reasons such as herd psychology and other reasons,rational people would become credulous with a certain probability in the later stage of rumor propagation,a credulous-affacted-spreader-rational-credulous(CASRC)rumor propagation model was established.Firstly,the basic reproduction number R0 of rumor spreading was calculated using the next generation matrix,and the local asymptotic stability of the rumor free equilibrium was proved when R0<1 according to Routh-Hurwitz criterion.The global asymptotic stability of the rumor free equilibrium was proved when R0≤1 by constructing Lyapunov function.Secondly,the global asymptotic stability of the rumor persistent equilibrium-was proved when R0>1 and β≤(β)by the method of the second additive composite matrix.Finally,the influence of contact rate-α1 and network average kon rumor spreading was considered,and the results were verified by numerical simulation.The results of this study can be used in the formulation of strategies to suppress the spread of rumors by relevant government departments.
Keywords：CASRC rumor spreading modelglobally asymptotically stablebasic reproduction numberre-acceptance rateRouth-Hurwitz criterionLyapunov function
Publication Date：2024-06-20
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 260-266 )