dc.authorid	0000-0002-6523-7805	tr
dc.contributor.author	KANGALGİL,Figen
dc.contributor.author	IŞIK, Seval
dc.date.accessioned	2023-06-21T13:30:34Z
dc.date.available	2023-06-21T13:30:34Z
dc.date.issued	02/06/2022	tr
dc.department	Eğitim Fakültesi	tr
dc.description.abstract	In the present manuscript, a discrete-time predator-prey system with prey immigration is considered. The existence of the possible fixed points of the system and topological classification of coexistence fixed point are analyzed. Moreover, the existence and the direction for both Neimark- Sacker bifurcation and flip bifurcation are investigated by applying bifurcation theory. In order to control chaos due to the emergence of the Neimark-Sacker bifurcation, an OGY feedback control strategy is implemented. Furthermore, some numerical simulations, including bifurcation diagrams, phase portraits and maximum Lyapunov exponents of the system, are given to support the accuracy of the analytical finding. The computation of the maximum Lyapunov exponents confirms the presence of chaotic behavior in the system.	tr
dc.identifier.citation	Kangalgil, F., & Isșık, S. (2022). Effect of immigration in a predator-prey system: Stability, bifurcation and chaos. AIMS Mathematics, 7(8), 14354-14375.	tr
dc.identifier.doi	10.3934/math.2022791	en_US
dc.identifier.endpage	14375	tr
dc.identifier.issue	8	tr
dc.identifier.scopus	2-s2.0-85131549260	en_US
dc.identifier.scopusquality	N/A
dc.identifier.startpage	14354	tr
dc.identifier.uri	https://hdl.handle.net/20.500.12418/13879
dc.identifier.volume	7	tr
dc.identifier.wos	WOS:000810758800007	en_US
dc.identifier.wosquality	Q1
dc.indekslendigikaynak	Web of Science	en_US
dc.indekslendigikaynak	Scopus	en_US
dc.language.iso	en	en_US
dc.publisher	AIMS Press	tr
dc.relation.ispartof	AIMS Mathematics	en_US
dc.relation.publicationcategory	Uluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanı	tr
dc.rights	info:eu-repo/semantics/openAccess	tr
dc.subject	predator-prey system; fixed point; stability; immigration; Neimark-Sacker bifurcation; flip bifurcation; chaotic behavior; OGY feedback control method	tr
dc.title	Effect of immigration in a predator-prey system: Stability, bifurcation and chaos	en_US
dc.type	Article	en_US

Effect of immigration in a predator-prey system: Stability, bifurcation and chaos

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