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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Sociedad de Biología de Chile
2004
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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 |
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Scielo Chile |
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Scielo Chile |
language |
English |
topic |
ODE population dynamics theoretical models mathematical ecology stability |
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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 |
_version_ |
1718439568283271168 |