| Article ID: | iaor20071851 |
| Country: | Netherlands |
| Volume: | 183 |
| Issue: | 1 |
| Start Page Number: | 95 |
| End Page Number: | 106 |
| Publication Date: | Apr 2005 |
| Journal: | Ecological Modelling |
| Authors: | Glria Iram M., Filho Tarcsio M. Rocha, Figueiredo Annibal, Brenig Lon |
| Keywords: | ecology |
Most of the dynamical systems used in models of mathematical biology can be related to the simplest known model: the Lotka–Volterra (LV) system. Brenig showed that no matter the degree of nonlinearity of the considered model is often possible to relate it to an LV by a suitable coordinate transformation plus an embedding. The LV system has then a status of canonical format. In this paper, we show how analytical properties of the original system can be studied from the dynamics of its associated LV. Our methodology is exemplified through the analysis of the stability of the interior fixed points and determination of conserved quantities.