Оригинал (Original)
Автори: Стамов, Т. Г.
Заглавие: On the almost periodicity in discontinuous impulsive gene regulatory networks
Ключови думи: almost periodic solutions for discontinuous impulsive gene r

Абстракт: In this paper, the almost periodic solutions for discontinuous impulsive gene regulatory networks (GRNs) are investigated. Firstly, the concept of almost periodicity is introduced for the impulsive model under consideration. Secondly, sufficient conditions are presented for the existence, uniqueness, and global exponential stability of almost periodic solutions. To this end, an estimate of the Cauchy matrix of the model of GRNs is established. Finally, the obtained results as well as the control power of the impulses are demonstrated via examples. This research contributes to the development of the qualitative theory of impulsive GRNs in almost periodic environment.

Библиография

    Издание

    Mathematical Methods in the Applied Sciences, 2021, Обединеното кралство, John Wiley & Sons Ltd
    		Autors: Stamov, T. G.
    Title: On the almost periodicity in discontinuous impulsive gene regulatory networks
    Keywords: almost periodic solutions for discontinuous impulsive gene regulatory networks

    Abstract: In this paper, the almost periodic solutions for discontinuous impulsive gene regulatory networks (GRNs) are investigated. Firstly, the concept of almost periodicity is introduced for the impulsive model under consideration. Secondly, sufficient conditions are presented for the existence, uniqueness, and global exponential stability of almost periodic solutions. To this end, an estimate of the Cauchy matrix of the model of GRNs is established. Finally, the obtained results as well as the control power of the impulses are demonstrated via examples. This research contributes to the development of the qualitative theory of impulsive GRNs in almost periodic environment.

    References

      Issue

      Mathematical Methods in the Applied Sciences, 2021, United Kingdom, John Wiley & Sons Ltd

      Цитирания (Citation/s):
      1. Lyapunov approach for almost periodicity in impulsive gene regulatory networks of fractional order with time-varying delays - 2021 - в издания, индексирани в Scopus или Web of Science
      2. Fractional-Order Impulsive Delayed Reaction-Diffusion Gene Regulatory Networks: Almost Periodic Solutions - 2023 - в издания, индексирани в Scopus или Web of Science
      3. On the qualitative analysis of fractional-order impulsive gene regulatory networks - 2023 - в издания, индексирани в Scopus или Web of Science

      Вид: пленарен доклад в международен форум, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus