Chaos and bifurcation of a nonlinear discrete prey-predator system

The discrete-time Prey-predator system obtained by two dimensional map was studied in present study. The fixed points and their stability were analyzed. Bifurcation diagram has been obtained for selected range of different parameters. As some parameters varied, the model exhibited chaos as a long ti...

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Bibliographic Details
Published in:Computational ecology and software 2012-09, Vol.2 (3), p.169-180
Main Authors: Elsadany, Abd-Elalim A, EL-Metwally, H A, Elabbasy, E M, Agiza, H N
Format: Article
Language:English
Subjects:
chaotic behavior
fractal dimension
Lyapunov exponents
Nonlinear theories
Predation (Biology)
prey-predator system
Online Access:Get full text
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Summary:The discrete-time Prey-predator system obtained by two dimensional map was studied in present study. The fixed points and their stability were analyzed. Bifurcation diagram has been obtained for selected range of different parameters. As some parameters varied, the model exhibited chaos as a long time behavior. Lyapunov exponents and fractal dimension of the chaotic attractor of our map were also calculated. Complex dynamics such as cycles and chaos were observed.
ISSN:2220-721X
2220-721X
DOI:10.0000/issn-2220-721x-compuecol-2012-v2-0013