Why the dimension matters in ecological models?

In this work we discuss the ecological and mathematical significance of system's dimension in continuous-time population dynamics models. We show how the system's dimension reflects the ecological assumptions and affects both the spectrum of dynamic output and mathematical tractability of...

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Autores principales: Ramos-Jiliberto,Rodrigo, Hoecker-Escuti,Francisco, Mena-Lorca,Jaime
Lenguaje:English
Publicado: Sociedad de Biología de Chile 2004
Materias:
ODE
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-078X2004000400012
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spelling oai:scielo:S0716-078X20040004000122005-04-26Why the dimension matters in ecological models?Ramos-Jiliberto,RodrigoHoecker-Escuti,FranciscoMena-Lorca,Jaime ODE population dynamics theoretical models mathematical ecology stability In this work we discuss the ecological and mathematical significance of system's dimension in continuous-time population dynamics models. We show how the system's dimension reflects the ecological assumptions and affects both the spectrum of dynamic output and mathematical tractability of the models. We stress that the model dimension is not always the same as the number of state-variables, and we also present conditions under which the system's dimension is alteredinfo:eu-repo/semantics/openAccessSociedad de Biología de ChileRevista chilena de historia natural v.77 n.4 20042004-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-078X2004000400012en10.4067/S0716-078X2004000400012
institution Scielo Chile
collection Scielo Chile
language English
topic ODE
population dynamics
theoretical models
mathematical ecology
stability
spellingShingle ODE
population dynamics
theoretical models
mathematical ecology
stability
Ramos-Jiliberto,Rodrigo
Hoecker-Escuti,Francisco
Mena-Lorca,Jaime
Why the dimension matters in ecological models?
description In this work we discuss the ecological and mathematical significance of system's dimension in continuous-time population dynamics models. We show how the system's dimension reflects the ecological assumptions and affects both the spectrum of dynamic output and mathematical tractability of the models. We stress that the model dimension is not always the same as the number of state-variables, and we also present conditions under which the system's dimension is altered
author Ramos-Jiliberto,Rodrigo
Hoecker-Escuti,Francisco
Mena-Lorca,Jaime
author_facet Ramos-Jiliberto,Rodrigo
Hoecker-Escuti,Francisco
Mena-Lorca,Jaime
author_sort Ramos-Jiliberto,Rodrigo
title Why the dimension matters in ecological models?
title_short Why the dimension matters in ecological models?
title_full Why the dimension matters in ecological models?
title_fullStr Why the dimension matters in ecological models?
title_full_unstemmed Why the dimension matters in ecological models?
title_sort why the dimension matters in ecological models?
publisher Sociedad de Biología de Chile
publishDate 2004
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-078X2004000400012
work_keys_str_mv AT ramosjilibertorodrigo whythedimensionmattersinecologicalmodels
AT hoeckerescutifrancisco whythedimensionmattersinecologicalmodels
AT menalorcajaime whythedimensionmattersinecologicalmodels
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