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https://hdl.handle.net/1822/15469
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Liz, Eduardo | - |
dc.contributor.author | Pilarczyk, Pawel | - |
dc.date.accessioned | 2011-12-20T12:18:33Z | - |
dc.date.available | 2011-12-20T12:18:33Z | - |
dc.date.issued | 2012 | - |
dc.identifier.issn | 0022-5193 | por |
dc.identifier.uri | https://hdl.handle.net/1822/15469 | - |
dc.description | Preprint aceite para publicação no Journal of Theoretical Biology. | por |
dc.description.abstract | The purpose of this paper is to analyze the effect of constant effort harvesting upon global dynamics of a discrete-time population model with juvenile and adult stages. We consider different scenarios, including adult-only mortality, juvenile-only mortality, and equal mortality of juveniles and adults. In addition to analytical study of equilibria of the system, we analyze global dynamics by means of an automated set-oriented rigorous numerical method. We obtain a comprehensive overview of the dynamics as the harvest rate and survival probability change. In particular, we determine the range of parameters for which the population abundance gets larger in spite of an increase in the harvest rate (so-called hydra effect), and for which subsequent increases in harvesting effort can magnify fluctuations in population abundance (destabilize it) and then stabilize it again (so-called bubble effect). | eng |
dc.description.sponsorship | The work of both authors was partially supported by the Spanish Ministry of Science and Innovation and FEDER, Grant MTM2010-14837. Moreover, the work of P. Pilarczyk was additionally supported in part from Fundo Europeu de Desenvolvimento Regional (FEDER) through COMPETE-Programa Operacional Factores de Competitividade (POFC) and from the Portuguese National Funds through Fundacao para a Ciencia e a Tecnologia (FCT) in the framework of the research projects FCOMP-01-0124-FEDER-010645 (ref. FCT PTDC/MAT/098871/2008) and Est-C/MAT/U10013/2011, as well as from the Research Center of Mathematics of the University of Minho through the FCT Pluriannual Funding Program.The authors thank K. Mischaikow's lab at Rutgers University (supported in part by NSF, DoE, DARPA, and AFOSR) and the Computer Science and Technology Center at Departamento de Informatica of the University of Minho for providing their cluster computing facilities. | por |
dc.language.iso | eng | por |
dc.publisher | Academic Press | por |
dc.rights | restrictedAccess | por |
dc.subject | Nonlinear difference equations | por |
dc.subject | Age structure | por |
dc.subject | Ricker map | por |
dc.subject | Constant effort harvesting | por |
dc.subject | Population abundance | por |
dc.subject | Hydra effect | por |
dc.subject | Bubble effect | por |
dc.subject | Equilibrium | por |
dc.subject | Stability | por |
dc.subject | Periodic orbit | por |
dc.subject | Synchronous orbit | por |
dc.subject | Oscillations | por |
dc.subject | Saddle-node configuration | por |
dc.subject | Global dynamics | por |
dc.subject | Morse decomposition | por |
dc.subject | Attractor | por |
dc.subject | Isolating neighborhood | por |
dc.subject | Rigorous numerics | por |
dc.subject | Set-oriented computations | por |
dc.subject | Interval arithmetic | por |
dc.title | Global dynamics in a stage-structured discrete-time population model with harvesting | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
oaire.citationStartPage | 148 | por |
oaire.citationEndPage | 165 | por |
oaire.citationVolume | 297 | por |
dc.identifier.doi | 10.1016/j.jtbi.2011.12.012 | por |
dc.identifier.pmid | 22200543 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Journal of Theoretical Biology | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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discrete-2f.pdf Acesso restrito! | Main article | 1,34 MB | Adobe PDF | Ver/Abrir |