Оригинал (Original)
Автори: Стамов, Т. Г.
Заглавие: On the qualitative analysis of fractional-order impulsive gene regulatory networks
Ключови думи: fractional-order impulsive gene regulatory networks

Абстракт: A class of fractional-order impulsive gene regulatory networks (GRNs) is intestigated. The proposed model is an extension of some existing integer-order GRNs using fractional derivatives of Caputo type. Some qualitative properties of solutions such as stability and almost periodicity are studied and new criteria are established by the Lyapunov functions approach. The effects of time-varying delays and impulsive perturbations at fixed times on the almost periodicity are considered. Numerical example are also presented to justify our findings

Библиография

    Издание

    Biomath Communications Supplement, том 1, брой 12, 2023, България, ISSN 1314-684X
    		Autors: Stamov, T. G.
    Title: On the qualitative analysis of fractional-order impulsive gene regulatory networks
    Keywords: fractional-order impulsive gene regulatory networks

    Abstract: A class of fractional-order impulsive gene regulatory networks (GRNs) is intestigated. The proposed model is an extension of some existing integer-order GRNs using fractional derivatives of Caputo type. Some qualitative properties of solutions such as stability and almost periodicity are studied and new criteria are established by the Lyapunov functions approach. The effects of time-varying delays and impulsive perturbations at fixed times on the almost periodicity are considered. Numerical example are also presented to justify our findings

    References

      Issue

      Biomath Communications Supplement, vol. 1, issue 12, 2023, Bulgaria, ISSN 1314-684X

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