Scholarlink

<p>To characterize the intervention effect of media coverage on public behavior and the latent nature of infectious diseases, this study constructs a nonlinear threshold Filippov epidemic model integrating media effects and latent-period time delay. First, the Lambert <i>W</i> function is employed to convert the model’s switching condition into a threshold jointly determined by susceptible and infected individuals; media interventions, vaccination, and treatment measures are initiated once the system state exceeds this threshold. Second, the dynamical properties of equilibria in the two subsystems are analyzed in depth. The convex combination method is employed to verify the existence of sliding modes and pseudo-equilibria in the delay-free Filippov model, while numerical simulations explore sliding, pseudo-equilibrium, boundary focus and global sliding bifurcations, and bistable behavior with three coexisting limit cycles. Furthermore, the impact of time delay on the Filippov epidemic model is explored, revealing that the introduction of time delay induces more complex dynamical behaviors than the delay-free case, including quasi-periodic solutions, chaos, and bistable states with coexisting oscillatory periodic solutions and limit cycles. The results indicate that time delay significantly increases the complexity of infectious disease dynamics, whereas media can reduce the infection rate and improve epidemic response efficiency by promptly releasing effective information to guide public behavior.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Global analysis of a non-smooth delayed SIR epidemic model with media-induced threshold policy

  • 期刊论文

  • 发表日期：

    2026年4月15日

查看全文
  • Guoqin Chen,
  • Shan Zhang,
  • Xuewen Tan,
  • Wenjie Qin,
  • Jing Li

摘要

To characterize the intervention effect of media coverage on public behavior and the latent nature of infectious diseases, this study constructs a nonlinear threshold Filippov epidemic model integrating media effects and latent-period time delay. First, the Lambert W function is employed to convert the model’s switching condition into a threshold jointly determined by susceptible and infected individuals; media interventions, vaccination, and treatment measures are initiated once the system state exceeds this threshold. Second, the dynamical properties of equilibria in the two subsystems are analyzed in depth. The convex combination method is employed to verify the existence of sliding modes and pseudo-equilibria in the delay-free Filippov model, while numerical simulations explore sliding, pseudo-equilibrium, boundary focus and global sliding bifurcations, and bistable behavior with three coexisting limit cycles. Furthermore, the impact of time delay on the Filippov epidemic model is explored, revealing that the introduction of time delay induces more complex dynamical behaviors than the delay-free case, including quasi-periodic solutions, chaos, and bistable states with coexisting oscillatory periodic solutions and limit cycles. The results indicate that time delay significantly increases the complexity of infectious disease dynamics, whereas media can reduce the infection rate and improve epidemic response efficiency by promptly releasing effective information to guide public behavior.