Оригинал (Original)
Автори: .
Заглавие: Formulation of Impulsive Ecological Systems Using the Conformable Calculus Approach: Qualitative Analysis
Ключови думи: Lotka–Volterra system; conformable derivative; impulses; pr

Абстракт: In this paper, an impulsive conformable fractional Lotka–Volterra model with dispersion is introduced. Since the concept of conformable derivatives avoids some limitations of the classical fractional-order derivatives, it is more suitable for applied problems. The impulsive control approach which is common for population dynamics’ models is applied and fixed moments impulsive perturbations are considered. The combined concept of practical stability with respect to manifolds is adapted to the introduced model. Sufficient conditions for boundedness and generalized practical stability of the solutions are obtained by using an analogue of the Lyapunov function method. The uncertain case is also studied. Examples are given to demonstrate the effectiveness of the established results.

Библиография

    Издание

    MDPI, 2023, САЩ, https://doi.org/10.3390/math11102221
    		Autors: .
    Title:
    Keywords:

    Abstract:

    References

      Issue

      , 2023, United States, https://doi.org/10.3390/math11102221

      Вид: публикация в международен форум, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Web of Science