<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-14T06:20:29Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2072/439604" metadataPrefix="oai_dc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2072/439604</identifier><datestamp>2025-03-24T06:39:20Z</datestamp><setSpec>com_2072_98</setSpec><setSpec>col_2072_378192</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
   <dc:title>Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III</dc:title>
   <dc:creator>Blé, Gamaliel</dc:creator>
   <dc:creator>Castellanos, Víctor</dc:creator>
   <dc:creator>Llibre, Jaume</dc:creator>
   <dc:subject>Periodic orbit</dc:subject>
   <dc:subject>Hopf bifurcation</dc:subject>
   <dc:subject>Population dynamics</dc:subject>
   <dc:subject>Lyapunov coecient</dc:subject>
   <dc:description>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:description>
   <dc:date>2016</dc:date>
   <dc:type>Article</dc:type>
   <dc:identifier>https://ddd.uab.cat/record/221042</dc:identifier>
   <dc:identifier>urn:10.1002/mma.3842</dc:identifier>
   <dc:identifier>urn:oai:ddd.uab.cat:221042</dc:identifier>
   <dc:identifier>urn:scopus_id:84958824889</dc:identifier>
   <dc:identifier>urn:articleid:10991476v39n14p3996</dc:identifier>
   <dc:identifier>urn:gsduab:4312</dc:identifier>
   <dc:identifier>urn:oai:egreta.uab.cat:publications/02e45a13-04e0-4820-b74c-0da01080334d</dc:identifier>
   <dc:identifier>urn:wos_id:000384079700006</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>Ministerio de Economía y Competitividad MTM2013-40998-P</dc:relation>
   <dc:relation>Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568</dc:relation>
   <dc:relation>European Commission 318999</dc:relation>
   <dc:relation>European Commission 316338</dc:relation>
   <dc:relation>Mathematical methods in the applied sciences ; Vol. 39, Issue 14 (September 2016), p. 3996-4006</dc:relation>
   <dc:rights>open access</dc:rights>
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   <dc:rights>https://rightsstatements.org/vocab/InC/1.0/</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:publisher/>
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