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Chaotic dynamics of a discrete prey-predator model with Holling type II. (English) Zbl 1154.37335
Summary: A discrete-time prey-predator model with Holling type II is investigated. For this model, the existence and stability of three fixed points are analyzed. The bifurcation diagrams, phase portraits and Lyapunov exponents are obtained for different parameters of the model. The fractal dimension of a strange attractor of the model was also calculated. Numerical simulations show that the discrete model exhibits rich dynamics compared with the continuous model, which means that the present model is a chaotic, and complex one.
37D45Strange attractors, chaotic dynamics
34D08Characteristic and Lyapunov exponents
37N25Dynamical systems in biology
92D25Population dynamics (general)