Global qualitative analysis of a quartic ecological model

In this paper we complete the global qualitative analysis of a quartic ecological 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.

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Veröffentlicht in:	Nonlinear analysis 2010-01, Vol.72 (2), p.628-634
Hauptverfasser:	Broer, Henk W., Gaiko, Valery A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bifurcation Bifurcations Dynamical systems Ecological monitoring Exact sciences and technology Field rotation parameter Global analysis, analysis on manifolds Limit cycle Mathematical analysis Mathematical models Mathematics Nonlinearity Ordinary differential equations Qualitative analysis Quartic ecological model Sciences and techniques of general use Separatrix cycle Singular point Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Wintner–Perko termination principle
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Beschreibung
Zusammenfassung:	In this paper we complete the global qualitative analysis of a quartic ecological 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.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.07.004