On the Integrability and Chaotic behaviour of an ecological model
Abstract
A three species food chain model is studied analytically as well as numerically. Integrability of the model is studied using Painleve analysis while chaotic behaviour is studied using numerical techniques, such as calculation of Lyapunov exponents, plotting the bifurcation diagram and phase plots. We correct and critically comment on the wrong results reported recently on this ecological model, in a paper by Rai ([1995] ``Modelling ecological systems'', Int. J. Bifurcation and Chaos 5, 537-543).
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