Why the dimension matters in ecological models?

Rodrigo Ramos-Jiliberto, Francisco Hoecker-Escuti, Jaime Mena-Lorca

Research output: Contribution to journalReview articlepeer-review

2 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)711-723
Number of pages13
JournalRevista Chilena de Historia Natural
Volume77
Issue number4
DOIs
StatePublished - Dec 2004
Externally publishedYes

Keywords

  • Mathematical ecology
  • ODE
  • Population dynamics
  • Stability
  • Theoretical models

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