dc.contributor.author | Uddin, Md. Jasim | |
dc.contributor.author | Sarker, Md. Sohel Rana | |
dc.contributor.author | Işık, Seval | |
dc.contributor.author | KANGALGİL,Figen | |
dc.date.accessioned | 2024-02-28T11:46:17Z | |
dc.date.available | 2024-02-28T11:46:17Z | |
dc.date.issued | 25 August 2023 | tr |
dc.identifier.citation | Uddin, M. J., Rana, S. M. S., Işık, S., & Kangalgil, F. (2023). On the qualitative study of a discrete fractional order prey–predator model with the effects of harvesting on predator population. Chaos, Solitons & Fractals, 175, 113932. | tr |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/14409 | |
dc.description.abstract | This research investigates the discrete prey–predator model by including harvesting on the predator population, in the sense of Caputo fractional derivative. We define the topological categories of the model fixed points. We demonstrate mathematically that, under certain parametric conditions, a fractional order prey-predator model undergoes both a Neimark–Sacker (NS) and a Period-doubling (PD) bifurcations. Using the central manifold and bifurcation theory, we present proof for NS and PD bifurcations. It has been discovered that the fractional order prey-predator model’s dynamical behavior is significantly influenced by the parameter values and the initial conditions. Two chaos control techniques have been used to eliminate the chaos in the model. In order to support our theoretical and analytical results and to illustrate complex and chaotic behavior, numerical simulations have been shown. | tr |
dc.language.iso | eng | tr |
dc.relation.isversionof | https://doi.org/10.1016/j.chaos.2023.113932 | tr |
dc.rights | info:eu-repo/semantics/openAccess | tr |
dc.subject | Prey-predator modelCaputo fractional derivativePeriod-doubling(PD) and Neimark–Sacker (NS) bifurcationsHarvesting 0-1 chaos testChaos control | tr |
dc.title | On the qualitative study of a discrete fractional order prey–predator model with the effects of harvesting on predator population | tr |
dc.type | article | tr |
dc.relation.journal | Chaos, Solitons and Fractals | tr |
dc.contributor.department | Eğitim Fakültesi | tr |
dc.contributor.authorID | 0000000265237805 | tr |
dc.identifier.volume | 175 | tr |
dc.identifier.issue | 1 | tr |
dc.identifier.endpage | 17 | tr |
dc.identifier.startpage | 1 | tr |
dc.relation.publicationcategory | Uluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanı | tr |