Global bifurcation analysis of a quartic predator–prey model

Gaiko V.A.
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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
Citation in English: Gaiko V.A. Global bifurcation analysis of a quartic predator–prey model // Computer Research and Modeling, 2011, vol. 3, no. 2, pp. 125-134
Citation in English: Gaiko V.A. Global bifurcation analysis of a quartic predator–prey model // Computer Research and Modeling, 2011, vol. 3, no. 2, pp. 125-134
DOI: 10.20537/2076-7633-2011-3-2-125-134
URL: http://crm-en.ics.org.ru/journal/article/1780/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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