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<p>In this paper, a stochastic delayed reaction-diffusion system under Lévy noise and Markov switching (SDRDS-LM) is proposed and the finite-time stability (FTS) of SDRDS-LM is studied based on Lyapunov methods. Several sufficient conditions ensuring the FTS for SDRDS-LM are introduced by constructing new Lyapunov functionals. The stability theories obtained are novel and simple and can apply to many models in real life. In addition, a class of reaction-diffusion Cohen Grossberg neural network is provided to showcase the effectiveness of the theoretical results. Finally, numerical examples are given to demonstrate the validity of our theorems.</p>

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Finite-time stability for stochastic delayed reaction-diffusion systems with Lévy noise and Markov switching

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • Wenting Li,
  • Yucai Ding,
  • Hui Liu,
  • Hui Zhang

摘要

In this paper, a stochastic delayed reaction-diffusion system under Lévy noise and Markov switching (SDRDS-LM) is proposed and the finite-time stability (FTS) of SDRDS-LM is studied based on Lyapunov methods. Several sufficient conditions ensuring the FTS for SDRDS-LM are introduced by constructing new Lyapunov functionals. The stability theories obtained are novel and simple and can apply to many models in real life. In addition, a class of reaction-diffusion Cohen Grossberg neural network is provided to showcase the effectiveness of the theoretical results. Finally, numerical examples are given to demonstrate the validity of our theorems.