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Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response

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dc.contributor.author Pelen, Neslihan Nesliye
dc.contributor.author Güvenilir, Ayşe Feza
dc.contributor.author Kaymakçalan, Billur
dc.date.accessioned 2020-04-16T21:21:24Z
dc.date.available 2020-04-16T21:21:24Z
dc.date.issued 2016-01-22
dc.identifier.citation Pelen, Neslihan Nesliye; Guvenilir, A. Feza; Kaymakcalan, Billur, "Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response", Advances in Difference Equations, (2016). tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/3248
dc.description.abstract We consider two-dimensional predator-prey systems with Beddington-DeAngelis-type functional response on periodic time scales. For this special case, we try to find the necessary and sufficient conditions for the considered system when it has at least one w-periodic solution. This study is mainly based on continuation theorem in coincidence degree theory and will also give beneficial results for continuous and discrete cases. Especially, for the continuous case, by using the study of Cui and Takeuchi (J. Math. Anal. Appl. 317: 464-474, 2006), to obtain the globally attractive w-periodic solution of the given system, an inequality is given as a necessary and sufficient condition. Additionally, for the continuous case in this study, the open problem given in the discussion part of the study of Fan and Kuang (J. Math. Anal. Appl. 295: 15-39, 2004) is solved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Open tr_TR
dc.relation.isversionof 10.1186/s13662-016-0747-0 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Predator-Prey Dynamic Systems tr_TR
dc.subject Beddington-Deangelis-Type Functional Response tr_TR
dc.subject Continuation Theorem tr_TR
dc.subject Globally Attractive Solution tr_TR
dc.subject Periodic Solution tr_TR
dc.subject Time-Scale Calculus tr_TR
dc.title Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 109448 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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