Autors: Gospodinova, E. G.
Title: Formulation of Impulsive Ecological Systems Using the Conformable Calculus Approach: Qualitative Analysis,
Keywords: Lotka–Volterra system; conformable derivative; impulses; pr

Abstract: 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.

References

    Issue

    Mathematics, MDPI, 2023, Switzerland, Mathematics, MDPI, https://doi.org/10.3390/math11102221

    Цитирания (Citation/s):
    1. Muslih, SI, Al-Masaeed, MG, Rabei, EM, Conformable Laplacian and fundamental constants: A new perspective on Coulomb and gravitational potentials in D-dimensional space, MODERN PHYSICS LETTERS A, vol 40, 2025, issn: 0217-7323, eissn: 1793-6632, doi: 10.1142/S0217732325501548 - 2025 - в издания, индексирани в Web of Science
    2. Chen, X, Zhou, WX, THREE-POINT INTEGRAL BOUNDARY-VALUE PROBLEMS FOR PIECEWISE FRACTIONAL IMPULSIVE DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, vol 2025, 2025, issn: 1072-6691, doi: 10.58997/ejde.2025.65 - 2025 - в издания, индексирани в Web of Science
    3. Sharifi, Z, Moghaddam, BP, Ilie, M, Computational approaches for analyzing fractional impulsive systems in differential equations, COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol 13, 2025, issn: 2345-3982, eissn: 2383-2533, doi: 10.22034/cmde.2024.61407.2642 - 2025 - в издания, индексирани в Web of Science
    4. Stamov, G, Stamova, I, Spirova, C, On an Impulsive Conformable M1 Oncolytic Virotherapy Neural Network Model: Stability of Sets Analysis, MATHEMATICS, vol 13, 2025, eissn: 2227-7390, art_no: ARTN 141, doi: 10.3390/math13010141 - 2025 - в издания, индексирани в Web of Science
    5. Kirci, O, Pandir, Y, Bulut, H, Different wave structures in water wave mechanics with two conformable models, JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, vol 71, 2025, issn: 1598-5865, eissn: 1865-2085, doi: 10.1007/s12190-024-02222-0 - 2025 - в издания, индексирани в Web of Science

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