Bifurcation Analysis of Predator-Prey System using Conformable Fractional Order Discretization
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915141214273536 |
|---|---|
| author | Rafaqat, Muhammad Masha, Abubakar Ahmed, Nauman Raza, Ali Sumelka, Wojciech |
| author_facet | Rafaqat, Muhammad Masha, Abubakar Ahmed, Nauman Raza, Ali Sumelka, Wojciech |
| contents | In this paper, conformal fractional order discretization [20, 24, 25] is used to analyze bifurcation analysis and stability of a predator-prey system. A continuous model has been discretized into a discrete one while preserving the fractional-order dynamics. This allows us to look more closely at the stability properties of the system and bifurcation phenomena, including period-doubling and Neimark-Sacker bifurcation. Through numerical and theoretical methods, this research investigated how the modification in system parameters affects the overall dynamics, which may have implications for ecological management and conservation strategies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02386 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bifurcation Analysis of Predator-Prey System using Conformable Fractional Order Discretization Rafaqat, Muhammad Masha, Abubakar Ahmed, Nauman Raza, Ali Sumelka, Wojciech Dynamical Systems Chaotic Dynamics In this paper, conformal fractional order discretization [20, 24, 25] is used to analyze bifurcation analysis and stability of a predator-prey system. A continuous model has been discretized into a discrete one while preserving the fractional-order dynamics. This allows us to look more closely at the stability properties of the system and bifurcation phenomena, including period-doubling and Neimark-Sacker bifurcation. Through numerical and theoretical methods, this research investigated how the modification in system parameters affects the overall dynamics, which may have implications for ecological management and conservation strategies. |
| title | Bifurcation Analysis of Predator-Prey System using Conformable Fractional Order Discretization |
| topic | Dynamical Systems Chaotic Dynamics |
| url | https://arxiv.org/abs/2501.02386 |