Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1154.37335
Agiza, H.N.; Elabbasy, E.M.; El-Metwally, H.; Elsadany, A.A.
Chaotic dynamics of a discrete prey-predator model with Holling type II. (English)
[J] Nonlinear Anal., Real World Appl. 10, No. 1, 116-129 (2009). ISSN 1468-1218

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.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34D08 Lyapunov exponents
37N25 Dynamical systems in biology
92D25 Population dynamics

Keywords: prey-predator model; Holling type II functional response; chaotic behavior; Layapunov exponents; fractal dimension

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]