- Previous Article
- Next Article
- Table of Contents
Computers & Chemical Engineering, Vol.31, No.8, 993-1005, 2007
Reliable computation of equilibrium states and bifurcations in ecological systems analysis
A problem of frequent interest in analyzing nonlinear ODE models of ecological systems is the location of equilibrium states and bifurcations. Interval-Newton techniques are explored for identifying, with certainty, all equilibrium states and all codimension-one and codimension-two bifurcations of interest within specified model parameter intervals. The methodology is applied to a tritrophic food chain in a chemostat (Canale's model), and a modification of thereof. This modification aids in elucidating the nonlinear effects of introducing a hypothetical contaminant into a food chain. (c) 2006 Elsevier Ltd. All rights reserved.
Keywords:ecosystem modeling;ecological risk assessment;food chains;equilibrium states;bifurcations;nonlinear dynamics