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Computer Research and Modeling, 2011, Volume 3, Issue 2, Pages 125–134
DOI: https://doi.org/10.20537/2076-7633-2011-3-2-125-134 (Mi crm553) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Global bifurcation analysis of a quartic predator–prey model

V. A. Gaĭko

National Academy of Sciences of Belarus, United Institute of Informatics Problems, L. Beda Str. 6-4, Minsk, 220040, Belarus
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DOI: https://doi.org/10.20537/2076-7633-2011-3-2-125-134
Abstract: We complete the global bifurcation analysis of a quartic predator–prey model. In particular, studying global bifurcations of singular points and limit cycles, we prove that the corresponding dynamical system has at most two limit cycles.
Keywords: quartic predator–prey model, bifurcation, limit cycle.
Received: 19.05.2011
Document Type: Article
UDC: 517.925
Language: Russian
Citation: V. A. Gaǐko, “Global bifurcation analysis of a quartic predator–prey model”, Computer Research and Modeling, 3:2 (2011), 125–134
Citation in format AMSBIB
\Bibitem{Gak11}
\by V.~A.~Ga{\v\i}ko
\paper Global bifurcation analysis of a quartic predator--prey model
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 2
\pages 125--134
\mathnet{http://mi.mathnet.ru/crm553}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-2-125-134}
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    		Computer Research and Modeling
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