Necessary and Sufficient Condition for Existence of Periodic Solutions of Predator-Prey Dynamic Systems With Beddington-Deangelis Functional Response
| dc.contributor.author | Guvenilir, A. Feza | |
| dc.contributor.author | Kaymakcalan, Billur | |
| dc.contributor.author | Pelen, Neslihan Nesliye | |
| dc.date.accessioned | 2020-04-16T21:21:24Z | |
| dc.date.accessioned | 2025-09-18T12:06:31Z | |
| dc.date.available | 2020-04-16T21:21:24Z | |
| dc.date.available | 2025-09-18T12:06:31Z | |
| dc.date.issued | 2016 | |
| 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. | en_US |
| 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). | en_US |
| dc.identifier.doi | 10.1186/s13662-016-0747-0 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84955473568 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-016-0747-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10932 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Predator-Prey Dynamic Systems | en_US |
| dc.subject | Beddington-Deangelis-Type Functional Response | en_US |
| dc.subject | Continuation Theorem | en_US |
| dc.subject | Globally Attractive Solution | en_US |
| dc.subject | Periodic Solution | en_US |
| dc.subject | Time-Scale Calculus | en_US |
| dc.title | Necessary and Sufficient Condition for Existence of Periodic Solutions of Predator-Prey Dynamic Systems With Beddington-Deangelis Functional Response | en_US |
| 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 | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Pelen, Neslihan Nesliye] Ondokuz Mayis Univ, Dept Math, Samsun, Turkey; [Guvenilir, A. Feza] Ankara Univ, Dept Math, Fac Sci, TR-06590 Ankara, Turkey; [Kaymakcalan, Billur] Cankaya Univ, Dept Math & Comp Sci, TR-06810 Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2016 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | continuation theorem | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | periodic solution | |
| gdc.oaire.keywords | Beddington-DeAngelis-type functional response | |
| gdc.oaire.keywords | Dynamical systems in biology | |
| gdc.oaire.keywords | predator-prey dynamic systems | |
| gdc.oaire.keywords | Population dynamics (general) | |
| gdc.oaire.keywords | time-scale calculus | |
| gdc.oaire.keywords | globally attractive solution | |
| gdc.oaire.keywords | Periodic solutions to ordinary differential equations | |
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| gdc.virtual.author | Kaymakçalan, Billur | |
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