Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III
Blé, Gamaliel (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas)
Castellanos, Víctor (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2016
Abstract:	We are interested in the coexistence of three species forming a tritrophic food chain model. Considering a linear grow for the lowest trophic species, Holling III and Holling II functional response for the predator and the top-predator, respectively. We prove that this model has stable periodic orbits for adequate values of its parameters.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 318999 European Commission 316338
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic orbit ; Hopf bifurcation ; Population dynamics ; Lyapunov coecient
Published in:	Mathematical methods in the applied sciences, Vol. 39, Issue 14 (September 2016) , p. 3996-4006, ISSN 1099-1476

DOI: 10.1002/mma.3842

Postprint 13 p, 1.5 MB

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