Scholarlink

<p>A stochastic distributed delay epidemic model with Markovian switching and Allee effect is constructed, where the infectious disease transmission rate follows a mean-reverting Ornstein-Uhlenbeck process. Hybrid dynamic effects of Ornstein-Uhlenbeck process and Lévy jumps on infectious disease transmission are discussed. Stochastically, the ultimate boundedness of the positive solution is investigated. The existence of a unique global positive solution is studied. By constructing appropriate stochastic Lyapunov functionals, sufficient conditions for weak persistence of the infected population are investigated. The existence of a unique ergodic stationary distribution is discussed based on Hasminskii’s ergodic theory. Sufficient conditions for the extinction of infectious disease are discussed. Numerical simulations are carried out to show consistency with the theoretical analysis.</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

Weak persistence and extinction of a stochastic epidemic model with distributed delay and Ornstein-Uhlenbeck process

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年7月21日

查看全文
  • Yanyang Sun,
  • Chao Liu,
  • Lora Cheung

摘要

A stochastic distributed delay epidemic model with Markovian switching and Allee effect is constructed, where the infectious disease transmission rate follows a mean-reverting Ornstein-Uhlenbeck process. Hybrid dynamic effects of Ornstein-Uhlenbeck process and Lévy jumps on infectious disease transmission are discussed. Stochastically, the ultimate boundedness of the positive solution is investigated. The existence of a unique global positive solution is studied. By constructing appropriate stochastic Lyapunov functionals, sufficient conditions for weak persistence of the infected population are investigated. The existence of a unique ergodic stationary distribution is discussed based on Hasminskii’s ergodic theory. Sufficient conditions for the extinction of infectious disease are discussed. Numerical simulations are carried out to show consistency with the theoretical analysis.