dc.contributor.author | Aybar, İlknur Kuşbeyzi | |
dc.contributor.author | Aybar, Orhan Özgür | |
dc.contributor.author | Dukaric, Musa | |
dc.contributor.author | Fercec, B. | |
dc.date.accessioned | 2021-06-05T19:56:50Z | |
dc.date.available | 2021-06-05T19:56:50Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0096-3003 | |
dc.identifier.issn | 1873-5649 | |
dc.identifier.uri | https://doi.org/10.1016/j.amc.2018.03.123 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12960/382 | |
dc.description | 0000-0001-8353-2106 | en_US |
dc.description | 0000-0001-8353-2106 | en_US |
dc.description | WOS:000432789500010 | en_US |
dc.description.abstract | In this paper we investigate the dynamical properties of a two prey-one predator system with quadratic self interaction represented by a three-dimensional system of differential equations by using tools of computer algebra. We first investigate the stability of the singular points. We show that the trajectories of the solutions approach to stable singular points under given conditions by numerical simulation. Then, we determine the conditions for the existence of the invariant algebraic surfaces of the system and we give the invariant algebraic surfaces to study the flow on the algebraic invariants which is a useful approach to check if Hopf bifurcation exists. (C) 2018 Elsevier Inc. All rights reserved. | en_US |
dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [113F383]; Slovenian Research Agency (ARRS)Slovenian Research Agency - Slovenia [BI-TR/14-16-001] | en_US |
dc.description.sponsorship | Turkish authors acknowledge the support by the Scientific and Technological Research Council of Turkey (TUBITAK) under the project number 113F383. Slovenian authors acknowledge the support by the Slovenian Research Agency (ARRS) (grant no. BI-TR/14-16-001). | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier Science Inc | en_US |
dc.relation.ispartof | Applied Mathematics and Computation | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Predator-Prey | en_US |
dc.subject | Stability Analysis | en_US |
dc.subject | Hopf Bifurcation | en_US |
dc.title | Dynamical analysis of a two prey-one predator system with quadratic self interaction | en_US |
dc.type | article | en_US |
dc.department | İktisadi ve İdari Bilimler Fakültesi, Yönetim Bilişim Sistemleri Bölümü | en_US |
dc.department-temp | [Aybar, I. Kusbeyzi] Yeditepe Univ, Fac Educ, TR-34755 Istanbul, Turkey; [Aybar, O. O.] Piri Reis Univ, TR-34940 Istanbul, Turkey; [Dukaric, M.; Fercec, B.] Univ Maribor, ctr Appl Math & Theoret Phys, Krekova 2, SI-2000 Maribor, Slovenia; [Fercec, B.] Univ Maribor, Fac Energy Technol, Krshko 8270, Slovenia | en_US |
dc.contributor.institutionauthor | Aybar, Orhan Özgür | |
dc.identifier.doi | 10.1016/j.amc.2018.03.123 | |
dc.identifier.volume | 333 | en_US |
dc.identifier.startpage | 118 | en_US |
dc.identifier.endpage | 132 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |