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

Department of Mathematics Engineering

Yeditepe University

Research output: Contribution to conference › Paper › peer-review

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.

Original language	English
Pages	349-354
Number of pages	6
Publication status	Published - 2013
Event	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013 - Istanbul, Turkey Duration: 11 Jun 2013 → 14 Jun 2013

Conference

Conference	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013
Country/Territory	Turkey
City	Istanbul
Period	11/06/13 → 14/06/13

Bibliographical note

Publisher Copyright:
© 2019 Institute of Mathematical Statistic. All rights reserved.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Bifurcation Analysis
Predator-Prey Models
Stability

Cite this

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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",

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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 - https://www.scopus.com/pages/publications/85072339404

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

Abstract

Conference

Bibliographical note

UN SDGs

Keywords

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Cite this