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Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle

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  • Ruofeng Rao

    (Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
    Institute of Financial Mathematics, Chengdu Normal University, Chengdu 611130, China)

Abstract

This paper reports applying Minimax principle and impulsive differential inequality to derive the existence of multiple stationary solutions and the global stability of a positive stationary solution for a delayed feedback Gilpin–Ayala competition model with impulsive disturbance. The conclusion obtained in this paper reduces the conservatism of the algorithm compared with the known literature, for the impulsive disturbance is not limited to impulsive control.

Suggested Citation

  • Ruofeng Rao, 2021. "Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle," Mathematics, MDPI, vol. 9(16), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1943-:d:614443
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    References listed on IDEAS

    as
    1. Rao, Ruofeng & Yang, Xinsong & Tang, Rongqiang & Zhang, Yulin & Li, Xinggui & Shi, Lei, 2021. "Impulsive stabilization and stability analysis for Gilpin–Ayala competition model involved in harmful species via LMI approach and variational methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 571-590.
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    Cited by:

    1. Quanxin Zhu, 2022. "Nonlinear Systems: Dynamics, Control, Optimization and Applications to the Science and Engineering," Mathematics, MDPI, vol. 10(24), pages 1-2, December.

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