Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III

dc.contributor.author
Blé, Gamaliel
dc.contributor.author
Castellanos, Víctor
dc.contributor.author
Llibre, Jaume
dc.date.issued
2016
dc.identifier
https://ddd.uab.cat/record/221042
dc.identifier
urn:10.1002/mma.3842
dc.identifier
urn:oai:ddd.uab.cat:221042
dc.identifier
urn:scopus_id:84958824889
dc.identifier
urn:articleid:10991476v39n14p3996
dc.identifier
urn:gsduab:4312
dc.identifier
urn:oai:egreta.uab.cat:publications/02e45a13-04e0-4820-b74c-0da01080334d
dc.identifier
urn:wos_id:000384079700006
dc.description.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.
dc.format
application/pdf
dc.language
eng
dc.publisher
dc.relation
Ministerio de Economía y Competitividad MTM2013-40998-P
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
dc.relation
European Commission 318999
dc.relation
European Commission 316338
dc.relation
Mathematical methods in the applied sciences ; Vol. 39, Issue 14 (September 2016), p. 3996-4006
dc.rights
open access
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Periodic orbit
dc.subject
Hopf bifurcation
dc.subject
Population dynamics
dc.subject
Lyapunov coecient
dc.title
Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III
dc.type
Article


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