Analysis of the dynamics of a realistic ecological model
C. Letellier and M. A. Aziz-Alaoui
Labo. Math., Le Havre University
Chaos Sol. & Fractals, Vol. 13(1), pp 105-117, (2002).
http://www.elsevier.com/gej-ng/10/14/11/63/27/37/abstract.html
ABSTRACT
The fairly realistic three species food chain model studied in
another paper
(click here), and
based on the Leslie-Gower scheme,
is investigated by using tools borrowed from the nonlinear dynamical systems
theory. It is observed that two co-existing attractors may be generated by this
ecological model. A type-I intermittency is characterized and a homoclinic
orbit is found.
Introduction
Typical strange attractor exhibited by this system.
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