dc.contributor.author | IŞIK, Seval | |
dc.contributor.author | KANGALGİL,Figen | |
dc.date.accessioned | 2023-06-22T09:35:44Z | |
dc.date.available | 2023-06-22T09:35:44Z | |
dc.date.issued | 1.04.2022 | tr |
dc.identifier.citation | Seval, I. Ş. I. K., & Kangalgil, F. (2022). On the analysis of stability, bifurcation, and chaos control of discrete-time predator-prey model with Allee effect on predator. Hacettepe Journal of Mathematics and Statistics, 1-21. | tr |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/13937 | |
dc.description.abstract | In this paper, a discrete predator-prey model with Allee effect which is obtained by the
forward Euler method has been investigated. The local stability conditions of the model
at the fixed point have been discussed. In addition, it is shown that the model undergoes
Neimark-Sacker bifurcation by using bifurcation theory. Then, the direction of Neimark-
Sacker bifurcation has been given. The OGY method is applied in order to control chaos
in considered model due to emergence of Neimark-Sacker bifurcation. Some numerical
simulations such as phase portraits and bifurcation figures have been presented to support
the theoretical results. Also, the chaotic features are justified numerically by computing
Lyapunov exponents. Because of consistency with the biological facts, the parameter
values have been taken from literature [Controlling chaos and Neimark-Sacker bifurcation
discrete-time predator-prey system, Hacet. J. Math. Stat. 49 (5), 1761-1776, 2020]. | tr |
dc.language.iso | eng | tr |
dc.relation.isversionof | 10.15672/hujms.728889 | tr |
dc.rights | info:eu-repo/semantics/openAccess | tr |
dc.subject | predator-prey model, fixed point, stability, Neimark-Sacker bifurcation, Allee effect, OGY control method | tr |
dc.title | On the analysis of stability, bifurcation, and chaos control of discrete-time predator-prey model with Allee effect on predator | tr |
dc.type | article | tr |
dc.relation.journal | Hacettepe Journal of Mathematics & Statistics | tr |
dc.contributor.department | Eğitim Fakültesi | tr |
dc.contributor.authorID | 0000-0002-6523-7805 | tr |
dc.identifier.volume | 51 | tr |
dc.identifier.issue | 2 | tr |
dc.identifier.endpage | 420 | tr |
dc.identifier.startpage | 404 | tr |
dc.relation.publicationcategory | Uluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanı | tr |