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 language | English |
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Pages (from-to) | 711-723 |
Number of pages | 13 |
Journal | Revista Chilena de Historia Natural |
Volume | 77 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2004 |
Keywords
- Mathematical ecology
- ODE
- Population dynamics
- Stability
- Theoretical models