Stability and bifurcation in a two species predator-prey model with quintic interactions

I. Kusbeyzi Aybar; I. Hacinliyan

Stability and bifurcation in a two species predator-prey model with quintic interactions

I. Kusbeyzi Aybar, I. Hacinliyan

Matematik Bölümü

Yeditepe University

Araştırma sonucu: Konferansa katkı › Yazı › bilirkişi

Özet

In this work, the generalization of Lotka-Volterra model including the addition of symmetrically coupled quintic polynomial interaction is analyzed. Stability and bifurcation properties of this model are studied. It is also shown that the model has a family of limit cycles bifurcating from the Hopf points by using a numerical method.

Orijinal dil	İngilizce
Sayfalar	349-354
Sayfa sayısı	6
Yayın durumu	Yayınlandı - 2013
Etkinlik	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013 - Istanbul, Turkey Süre: 11 Haz 2013 → 14 Haz 2013

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???event.eventtypes.event.conference???	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013
Ülke/Bölge	Turkey
Şehir	Istanbul
Periyot	11/06/13 → 14/06/13

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© 2019 Institute of Mathematical Statistic. All rights reserved.

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Alıntı Yap

@conference{713cc35bc874489f8257153e6b5aa118,

title = "Stability and bifurcation in a two species predator-prey model with quintic interactions",

abstract = "In this work, the generalization of Lotka-Volterra model including the addition of symmetrically coupled quintic polynomial interaction is analyzed. Stability and bifurcation properties of this model are studied. It is also shown that the model has a family of limit cycles bifurcating from the Hopf points by using a numerical method.",

keywords = "Bifurcation Analysis, Predator-Prey Models, Stability",

author = "Aybar, {I. Kusbeyzi} and I. Hacinliyan",

note = "Publisher Copyright: {\textcopyright} 2019 Institute of Mathematical Statistic. All rights reserved.; 6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013 ; Conference date: 11-06-2013 Through 14-06-2013",

year = "2013",

language = "English",

pages = "349--354",

}

TY - CONF

T1 - Stability and bifurcation in a two species predator-prey model with quintic interactions

AU - Aybar, I. Kusbeyzi

AU - Hacinliyan, I.

PY - 2013

Y1 - 2013

N2 - In this work, the generalization of Lotka-Volterra model including the addition of symmetrically coupled quintic polynomial interaction is analyzed. Stability and bifurcation properties of this model are studied. It is also shown that the model has a family of limit cycles bifurcating from the Hopf points by using a numerical method.

AB - In this work, the generalization of Lotka-Volterra model including the addition of symmetrically coupled quintic polynomial interaction is analyzed. Stability and bifurcation properties of this model are studied. It is also shown that the model has a family of limit cycles bifurcating from the Hopf points by using a numerical method.

KW - Bifurcation Analysis

KW - Predator-Prey Models

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85072339404&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85072339404

SP - 349

EP - 354

T2 - 6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013

Y2 - 11 June 2013 through 14 June 2013

ER -

Stability and bifurcation in a two species predator-prey model with quintic interactions

Özet

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BM SKH

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