Dynamic analysis and optimal control of rumor propagation models considering different education levels and hesitation mechanisms

• DOI: 10.3934/math.2024979
• Publication Date: 2024-06-20T10:58:17Z
• Authors: Hongshuang Wang; Sida Kang; Yuhan Hu
• Keywords: Rumor

<abstract><p>The spread of rumors has an important impact on the production and life human society. Moreover, in process rumor propagation, individuals with different educational levels show degrees trust ability to rumors. Therefore, a new propagation model was established, which considers influence education level propagation. Initially, basic reproduction number calculated. Then, we analyzed existence stability equilibrium point. Next, based principle Pontryagin's maximum value, obtained control strategy, effectively reduced Numerical simulations verified results theoretical analysis. The showed that higher population, slower certain extent, but it could not prevent In addition, through support government propaganda official media, strengthening can improve people's then minimize speed propagation.</p></abstract>