Andronov–Hopf and Bautin bifurcation in a tritrophic food chain model with Holling functional response types IV and II

The existence of an Andronov–Hopf and Bautin bifurcation of a given system of differential equations is shown. The system corresponds to a tritrophic food chain model with Holling functional responses type IV and II for the predator and superpredator, respectively. The linear and logistic growth is...

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Authors:	Gamaliel Blé, Víctor Castellanos, Iván Loreto-Hernández
Format:	Article
Language:	English
Published:	University of Szeged 2018-09-01
Subjects:	andronov–hopf bifurcation bautin bifurcation limit cycle food chain model
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6720