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Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control

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  • Yuangan Wang

Abstract

Having attracted much attention in the past few years, predator-prey system provides a good mathematical model to present the correlation between predators and preys. This paper focuses on the robust stability of Lotka-Volterra predator-prey system with the fuzzy impulsive control model, and Takagi-Sugeno (T-S) fuzzy impulsive control model as well. Via the T-S model and the Lyapunov method, the controlling conditions of the asymptotical stability and exponential stability are established. Furthermore, the numerical simulation for the Lotka-Volterra predator-prey system with impulsive effects verifies the effectiveness of the proposed methods.

Suggested Citation

  • Yuangan Wang, 2012. "Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, June.
    • Handle: RePEc:hin:jnljam:715497
    DOI: 10.1155/2012/715497
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    Cited by:

    1. Wang, Yuangan & Yu, Honglin, 2018. "Fuzzy synchronization of chaotic systems via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 154-160.
    2. Uğur Erkin Kocamaz & Alper Göksu & Harun Taşkın & Yılmaz Uyaroğlu, 2021. "Control of chaotic two-predator one-prey model with single state control signals," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1563-1572, August.

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