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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Sumario: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