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<p>In this paper, we establish a class of stochastic susceptible-infected-recovered (SIR) epidemic model that incorporate reaction–diffusion, impulse and latency. To start with, taking advantage of the comparison principle and bounded impulsive interval methods, the necessary conditions for the finite time stability is given. Secondly, we present the sufficient condition for finite-time contraction stability in a stochastic SIR epidemic model with spatial diffusion, impulse and latency. Finally, numerical simulations are performed to demonstrate the theoretical results.</p>

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Finite-time contraction stability by feedback control for a stochastic SIR epidemic model

  • 期刊论文

  • 发表日期：

    2025年12月15日

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  • Zong Wang,
  • Shifeng Xu,
  • Ruobing Wang,
  • Yanyan Du

摘要

In this paper, we establish a class of stochastic susceptible-infected-recovered (SIR) epidemic model that incorporate reaction–diffusion, impulse and latency. To start with, taking advantage of the comparison principle and bounded impulsive interval methods, the necessary conditions for the finite time stability is given. Secondly, we present the sufficient condition for finite-time contraction stability in a stochastic SIR epidemic model with spatial diffusion, impulse and latency. Finally, numerical simulations are performed to demonstrate the theoretical results.