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Effect of Leakage Delay on Stability of Neutral‐Type Genetic Regulatory Networks

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  • Li Li
  • Yongqing Yang
  • Chuanzhi Bai

Abstract

The stability of neutral‐type genetic regulatory networks with leakage delays is considered. Firstly, we describe the model of genetic regulatory network with neutral delays and leakage delays. Then some sufficient conditions are derived to ensure the asymptotic stability of the genetic regulatory network by the Lyapunov functional method. Further, the effect of leakage delay on stability is discussed. Finally, a numerical example is given to show the effectiveness of the results.

Suggested Citation

  • Li Li & Yongqing Yang & Chuanzhi Bai, 2015. "Effect of Leakage Delay on Stability of Neutral‐Type Genetic Regulatory Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:826020
    DOI: 10.1155/2015/826020
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    References listed on IDEAS

    as
    1. Lizi Yin & Yungang Liu, 2014. "Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, May.
    2. Yuping Cao & Chuanzhi Bai, 2014. "Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, April.
    3. Lizi Yin & Yungang Liu, 2014. "Exponential Stability Analysis for Genetic Regulatory Networks with Both Time‐Varying and Continuous Distributed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Jun Li & Manfeng Hu & Jinde Cao & Yongqing Yang & Yinghua Jin, 2014. "Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, April.
    5. Yuping Cao & Chuanzhi Bai, 2014. "Finite‐Time Stability of Fractional‐Order BAM Neural Networks with Distributed Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Jun Li & Manfeng Hu & Jinde Cao & Yongqing Yang & Yinghua Jin, 2014. "Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time‐Varying Delay in the Leakage Term," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Yonggang Chen & Weiping Bi & Yuanyuan Wu, 2008. "Delay-Dependent Exponential Stability for Discrete-Time BAM Neural Networks with Time-Varying Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-14, November.
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