PAINLEVE PROPERTY ANALYSIS AS A TOOL TO ASCERTAIN THE CONTROL PARAMETERS OF A MODEL FOOD-CHAIN

In this paper, we perform a Painleve property analysis of a simple mod el food chain containing ten parameters. We have been able to obtain a reduction of the multiparameter space to a two-parameter space satisf ying nonintegrability conditions. The usefulness of this analysis is t hat one immediately obtains information on the key parameters governin g the dynamical behaviour of the system concerned. Our analytical find ings are well supported by the numerical experiments. The work reporte d in this paper might be helpful in future ecological modelling and fo r that matter for the study of any model of any physical system.