| Autor: |
Tareq Hamadneh, Abderrahmane Abbes, Ibraheem Abu Falahah, Yazan Alaya AL-Khassawneh, Ahmed Salem Heilat, Abdallah Al-Husban, Adel Ouannas |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Axioms, Vol 12, Iss 6, p 561 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2075-1680 |
| DOI: |
10.3390/axioms12060561 |
| Popis: |
The paper introduces a novel two-dimensional fractional discrete-time predator–prey Leslie–Gower model with an Allee effect on the predator population. The model’s nonlinear dynamics are explored using various numerical techniques, including phase portraits, bifurcations and maximum Lyapunov exponent, with consideration given to both commensurate and incommensurate fractional orders. These techniques reveal that the fractional-order predator–prey Leslie–Gower model exhibits intricate and diverse dynamical characteristics, including stable trajectories, periodic motion, and chaotic attractors, which are affected by the variance of the system parameters, the commensurate fractional order, and the incommensurate fractional order. Finally, we employ the 0–1 method, the approximate entropy test and the C0 algorithm to measure complexity and confirm chaos in the proposed system. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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