Stability and bifurcation in two species predator-prey models
| dc.contributor.author | Kusbeyzi, I. | |
| dc.contributor.author | Aybar, O. O. | |
| dc.contributor.author | Hacinliyan, A. | |
| dc.date.accessioned | 2025-10-29T11:23:58Z | |
| dc.date.issued | 2011 | |
| dc.department | Fakülteler, Temel Bilimler Fakültesi, Matematik Bölümü | |
| dc.description.abstract | Changes in the number and stability of equilibrium points in the Lotka-Volterra model as well as some of its generalizations that lead to qualitative changes in the behavior of the system as a function of some of its parameters are studied by bifurcation analysis. A generalization involving a cubic interaction as proposed by Nutku is shown to change the stability properties in a simple way and in particular cases introduce additional stability. Numerical methods and the approach provided by approximate techniques near equilibrium points are used in the analysis. (C) 2010 Elsevier Ltd. All rights reserved. | |
| dc.identifier.doi | 10.1016/j.nonrwa.2010.06.023 | |
| dc.identifier.endpage | 387 | |
| dc.identifier.issn | 1468-1218 | |
| dc.identifier.issue | 1 | |
| dc.identifier.orcid | 0000-0001-8353-2106 | |
| dc.identifier.scopus | 2-s2.0-77958016087 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 377 | |
| dc.identifier.uri | https://doi.org/10.1016/j.nonrwa.2010.06.023 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14854/9718 | |
| dc.identifier.volume | 12 | |
| dc.identifier.wos | WOS:000284292000032 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Pergamon-Elsevier Science Ltd | |
| dc.relation.ispartof | Nonlinear Analysis-Real World Applications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20251020 | |
| dc.subject | Hopf bifurcation | |
| dc.subject | Lotka-Volterra model | |
| dc.subject | Normal form | |
| dc.title | Stability and bifurcation in two species predator-prey models | |
| dc.type | Article |
