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<p>This paper proposes a dual-virus epidemic model coupled with opinion dynamics on a multiplex network, explicitly incorporating higher-order interactions (HOI). We establish the system’s well-posedness and derive stability conditions for disease-free and endemic equilibria. To quantify the regulatory efficacy of social behavior, we introduce the Opinion Modulation Rate (OMR). Numerical simulations reveal that HOI induces nonlinear amplification and network-driven spillover effects. Crucially, we identify a structural limitation where opinion-based interventions fail in higher-order subgroups, creating ‘persistence sources’ that lead to control inefficacy. Furthermore, our results demonstrate that public opinion acts as a selective pressure, governing viral competition outcomes. These findings emphasize that behavioral adjustments must be complemented by structural interventions to manage complex epidemics effectively.</p>

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Opinion modulation and higher-order contact effects in dual-virus epidemic dynamics

  • 期刊论文

  • 发表日期：

    2026年4月30日

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  • Kai Wen,
  • Shidong Zhai,
  • Heng Wang,
  • Junli Tao

摘要

This paper proposes a dual-virus epidemic model coupled with opinion dynamics on a multiplex network, explicitly incorporating higher-order interactions (HOI). We establish the system’s well-posedness and derive stability conditions for disease-free and endemic equilibria. To quantify the regulatory efficacy of social behavior, we introduce the Opinion Modulation Rate (OMR). Numerical simulations reveal that HOI induces nonlinear amplification and network-driven spillover effects. Crucially, we identify a structural limitation where opinion-based interventions fail in higher-order subgroups, creating ‘persistence sources’ that lead to control inefficacy. Furthermore, our results demonstrate that public opinion acts as a selective pressure, governing viral competition outcomes. These findings emphasize that behavioral adjustments must be complemented by structural interventions to manage complex epidemics effectively.